Simson, who had been chairman of the fund since 2007, died on the 13 November.
A statement from QIF said: “It is with great regret that we report the sudden death of David von Simson, who served the company skillfully as Chairman since launch in 2007.
“Our thoughts are with his family, friends and colleagues.”
Wilson, who has 35 years experience in hedge funds, derivatives and global asset management, has served on the Board of Qatar Investment Fund plc since it was established in 2007, latterly as Senior Independent Director.
The announcement coincides with QIF’s AGM at which a resolution to discontinue the fund was voted against by 98% of shareholders.