The midfielder has decided not to carry on so he can concentrate on his club career and for family reasons after discussions with medical advisers.
The midfielder won 12 caps, the first back in 2008, but has opted to retire to focus on his club career and for family reasons.
The midfielder has played for the French Under-21s and was born in Zaire but decided to play for Congo.
Mulumbu told the club's official website: "This decision has been taken following long discussions with my family and medical advisers.
"I hope to have the opportunity to extend my professional career which is the guarantee for my family's security, by retiring from international commitments.
"It was an extremely hard decision for me to take, but I wish DR Congo and the whole team great success."