No. Prime Minister, Took office, Left office, Time in office, Party, Election, Coalition, Cabinet. 1. The current Prime Minister is Sanna Marin of the Social Democratic Party since 10 December Living former Prime Ministers. Esko Aho. The latest Tweets from Sanna Marin (@MarinSanna). Suomen pääministeri. Finlands statsminister. Prime Minister of Finland. Kansanedustaja. SDP:n.