According to studyinfinland.fi:
There are currently no tuition fees charged in Finland, regardless of the level of studies and the nationality of the student however tuition fees for non-EU/EEA students will be introduced from autumn 2017 onwards for English-taught Bachelor’s or Master’s programmes. Doctoral level studies will remain free of tuition fees.
Updates concerning the forthcoming non-EU tuition fees and related new scholarships options can be found at www.studyinfinland.fi/tuitionfees2017.
Remember that even when there are no tuition fees, you still need to plan your finances – you are expected to independently cover all your everyday living expenses during your studies in Finland.
At the moment, scholarships are mainly available only for Doctoral level studies and research.
Cost of Studying in Finland: Estimated living expenses of a single student in Finland average around 500-800 Euros per month.