The office said that Lee, 72, will formally propose the city-state's President appoint Wong, who is currently Deputy PM and Finance Minister, to succeed him.
Wong, who has won the unanimous support from lawmakers in the ruling People's Action Party (PAP), will be sworn in at the national palace on the same day.
Immediately after the Office's announcement, Wong also confirmed that he will succeed Lee and work with the highest sense of responsibility.
Lee has served as PM of Singapore and head of the PAP since August 2004.
