According to the report, a wall collapsed at Demba Diop Stadium on Saturday as people prepared to leave after the game between local teams Ouakam and Stade de Mbour.
Rival fans were said to have been involved in a bitter fight before police responded by using tear gas, which led to panic, a stampede, and the wall collapse.
Sports minister Matar Ba said a young girl was among the dead, while around 60 injured fans had been taken to health facilities in Dakar.
An AFP news agency journalist who was at the scene said, at 2-1 during extra time, US Ouakam supporters began throwing stones at Stade de Mbour fans, causing spectators to begin vacating their seats in a rush
According to the journalist, part of a wall supporting bleachers seating fans from both sides then collapsed as police started firing tear gas.