There are no designated night routes in Minsk. The metro closes at 0130 AM (the last trains leave the terminals at 0100 AM). You can find the final times of the ground transportation routes on the signs on the stops or online: normally they stop operating around midnight. Minibuses finish their day earlier, around 9-10 PM. So, if you need to get somewhere in the city between midnight and 0530 AM, take a taxi.