The Jays originally played at Exhibition Stadium , but since 1989 have been playing their home games at Rogers Centre ( was called SkyDome ) . Originally based at Exhibition Stadium , the team began playing its home games at the SkyDome , upon completion of its construction in 1989 . Since 2000 , the Blue Jays have been owned by Rogers Communications , and in 2004 , the SkyDome was purchased by that company , which renamed the venue to Rogers Centre .