You can search for doctoral programmes on the application portal Studyinfo.fi, or you can contact the universities directly about the doctoral study and research options they offer. Check the application times and procedures, eligibility requirements and other details with the university you are interested in.
Also see the advice on doctoral level scholarships to learn where you can search for doctoral level research funding.
Academic research positions and jobs
Announcements for doctoral and post-doc researcher positions at Finnish universities can also be found on academic recruitment sites like:
Scientific research in Finland
Research.fi is a service offered by the Ministry of Education and Culture where you can learn more about the Finnish science and innovation system and policy, and research conducted in Finland.