Military police
Within the provisions of the Czechoslovak Law No. 124/1992 Dig. regarding the Military Police, they are responsible for police protection of armed forces, military facilities, military material and other state property controlled by the Ministry of Defence. The Military Police are a professional force. Since 1 January 1993, Czechoslovak Military Police Corps were divided to Czech and Slovak separate Military Police Corps.
The Military Police are headed by a Chief, who directly reports to the Minister of Defence.
As of 1 July 2003, the Military Police officers are equipped with accessories black in colour, including their distinctive feature – the black beret.
The structure is based on the territorial principle. The Military Police subordinated headquarters are located in Prague, Tábor, and Olomouc.
Military police officers are assigned directly to military units, and they form also part of military contingents of the Armed Forces of the Czech Republic in foreign deployments.
Foreign Deployments:
The military police officers serve within contingents of the Armed Forces of the Czech Republic on foreign operations on the territory of Iraq and on the Balkans, and as of March 2007 its Special Operation Group (SOG) also in southern Afghanistan in the Helmand Province.
Military Police of the Czech republic also contains active reserve units. Members of the active reserve have a civilian profession but several times a year participate in training or other MP activities.

Denmark: In Denmark the military police (Danish: militærpoliti) services are carried out as independent units under each branch. In the army all military police tasks are done as an integral part of the Trænregimentet,
 
whereas the navy military police is an independent unit under command and control of the commanding officer of the Danish Frogman Corps
 
and the air force, as a part of the force protection squadron (Squadron 660) of the air force Combat Support Wing.
 
Unlike the two other branches, the navy military police also handles installation guard duties (which is carried out by regular soldiers in the army and by an installation protection unit under Squadron 660 in the air force) of naval installations as well as certain military installations in the Danish capital region, such as the Danish Defence Command and the Ministry of Defence.
MP personnel typically wear either branch-specific display dress uniforms with white shoulder markings with the text MP or the branch-common daily combat uniform, with a red beret. In the air force the MP-shoulder markings is typically replaced with markings saying either VAGT or GUARD, but for international missions they also use the MP-markings.
MP personnel generally do not have legal authority over civilians in non-military areas but only over military personnel and on military installations (also publicly accessible places like Holmen Naval Base in Copenhagen). On some occasions MP personnel can support civilian police in certain tasks, but will only have slightly more legal authority than civilians—similar to the police home guard.
In the army military police are almost without exception NCOs or officers, whereas the navy and air force rely mainly of Danish ranks OR-1 to OR-3.
Furthermore, the home guard has a police branch, which supports both the civilian Danish police and the military police.
Typical MP jobs are:

Installation/perimeter guard
Personnel protection
Traffic control
Courier services
Prisoner transport

Estonia: The Sõjaväepolitsei are the Military Police of the Estonian Defence Forces.[1] The Estonian MP organization was created in 1994 and is today divided into tactical (patrol) and investigative units. Additionally, conscript-based reserve MP platoons are trained in Guard Battalion every year. MP tasks include investigation of serious disciplinary cases and some armed service-related crimes, supervision of military discipline within the Forces, military traffic control and various security tasks. Within conflict/crises areas (Afghanistan) the MP may provide close protection of the Estonian national representative and other visiting VIPs. When on regular patrol assignment, Estonian MPs wear a black brassard on their right shoulder, with the letters SP in silver, and are usually equipped with an HK USP 9 mm pistol, spare magazines, radio, handcuffs, pepper spray and an expandable police baton.

Finland: The Sotilaspoliisi are the military police of the Finnish Defence Forces. The Finnish MPs wear a black brassard on the left shoulder with the letters 'SP' in white. A military policeman is usually armed with a 9 mm pistol, a baton, pepper spray and handcuffs on their belt. The military police includes both career and conscript personnel, and is primarily used to guard military installations and supervise military traffic. All military police personnel are trained with basic police techniques and usually receive training for fighting in urban areas. In wartime, the tasks are more extensive and include protection of key personnel and targets, especially against enemy special forces, and surveillance, control, pursuit, arrest and destruction missions. For training, almost all brigades have military police companies. The companies are part of and subordinate to the brigade.
The military police has jurisdiction over military personnel, military areas, installations and exercise areas. However, a military police patrol may stop a crime that it witnesses in process in a civilian area. Additionally, if a military police unit is near to a serious crime taking place, such as a robbery or an assault, and the civilian police are delayed, a military police unit that is near to the scene can offer to handle the situation until the civilian police arrive. As with some other Finnish Defence Forces units, the military police can be used to provide assistance to the civilian police when they are undermanned or lack special resources. In such case, the military police may take measures deemed necessary by the civilian police. For example, during the 2005 Helsinki World Athletic Championship Games, military police conscripts and career personnel were placed along the marathon route to prevent the large numbers of spectators from obstructing the runners.
Before and during World War II, Finland did not have military police in peacetime, but only temporary sotapoliisi ("war police"). Ex-police officers were conscripted for police officer duty in the armed forces; usually only the officers had police training. Planning for sotapoliisi was still unfinished at the break of war, so regular reservists could not be conscripted. Thus personnel had to be recruited without regard to quality; conscripts found unfit for field duty for e.g. health reasons, and even those with previous criminal record were recruited, and the reputation suffered.
 
For a long time, sotapoliisi existed only in wartime. However, improvement to this came eventually: the military police school was founded in 1963, and civilian police background was no longer required.
The crimes committed by military personnel are, as a rule, investigated by the military. Minor infractions are usually investigated by the career personnel of the unit, while more serious crimes are investigated by the investigative section of the General Staff of the Finnish Defence Forces. In minor matters, the company commander or their superiors may use disciplinary powers, but more serious cases are deferred to the civilian prosecutor who will take the case to the district court.

France: The National Gendarmerie acts as both the military police and one of the two national law enforcement forces of France.
Provost missions are assumed by local units for the garrisons of the Ground Army on French soil and by special divisions : 

The 1100 personnel of the Maritime Gendarmerie police the Navy (and also acts as a coast guard and water police force). National critical merchant ports are protected by specialized units of the Gendarmerie Maritime, the Naval and Harbor Safety Platoons.
The 860 members of the Air Gendarmerie polices the Air Force fulfills police and security missions in the air bases, and goes on the site of an accident involving military aircraft. This branch is separate from the Air Transport Gendarmerie, which is placed under the dual supervision of the Gendarmerie and the direction of civilian aviation and fulfills police and security missions in civilian airfields and airports. They also perform immigration and emigration checks on military flights.
The 280 personnel of the Ordnance Gendarmerie (Gendarmerie de l'Armement) fulfill police and security missions in the establishments of the France's defence procurement agency (Délégation Générale pour l'Armement) and ensure VIP close-protection for the head of the DGA and a few other high-rankings.
The 50 personnel of the Gendarmerie of the Safety of Nuclear Armaments, backed by 250 members of the Mobile Gendarmerie monitor all the nuclear armaments of the French Republic.
The 70 members of the Provost Gendarmerie (Gendarmerie Prévôtale) conduct judiciary and disciplinary investigations in foreign garrisons.
The Maritime Gendarmerie, Air Gendarmerie, Ordnance Gendarmerie and Provost Gendarmerie are placed under the dual supervision of the Gendarmerie and the relevant military branch. However, for judiciary duties, they are under exclusive command of the relevant court.
In addition to the Gendarmerie, Naval Fusiliers (Fusiliers Marins), Fusilier commandos of the Air Force (Fusiliers Commandos de l'Air) and dedicated regimental platoons maintain order for their respective branches.

Germany: The Feldjäger are the military police of the German Bundeswehr. The term Feldjäger ("field hunter") has a long tradition and dates back to the mid-17th century.