Hagi Shein has been the Director General of Estonian Public Television (elected for the period 1992-1994 by the Estonian Parliament and for 1994-1997 by the Broadcasting Council). Since May 1999, he has been the Head of Management of the Estonian Media Educators Union. Prof. Shein served as the representative of the President of Estonia at the National Minorities Round Table and was an elected member of Tallinn City Council 1999 – 2001. In April 2000, the Estonian Parliament appointed him a member of the Broadcasting Council of Estonian Public Television and Radio, from 2001 he has been a member of the Board of Estonian Film Foundation and from 2002 a member of the Academic Council of the President of Estonia. He also represents Estonia in a working group on media policy in European Council.
Since 2006 chairs the Television and Audiovisual Media in the Media Department of Baltic Film and Media School.