According to RMC Sport, the French specialist died on the night of December 13-14.
The causes of death were not specified.
Houllier headed Liverpool from 1998 to 2004.
During this time, he won the UEFA Cup and Super Cup, the FA Cup and Super Cup, as well as two English League Cups with the team.
He is also known for working with the French national team, PSG and Lyon.
Together with PSG he won the French Championship in 1985/1986, and with Lyon he won Ligue 1 twice (2005/06, 2006/07).
Earlier it was reported that the former coach of the Croatian national football team Otto Baric died of coronavirus.