"I am deeply shocked and offer my most heartfelt condolences to all the families concerned." Fally Ipupa said on his Facebook page.
He said he was horrified to learn what had happened.
"Despite all the measures taken for the strict respect of security requirements, unfortunate and dramatic events marred the end of the concert.
Too many people had been allowed into Kinshasa's 80,000 capacity Martyrs' stadium on Saturday night, Interior Minister Daniel Aselo Okito told the Actualite.cd news website.
"Eleven people dead... including two police," the minister told reporters at the stadium, sending condolences to relatives of the casualties.
He deplored the frequent "loss of human life and damage to equipment" during events held at the stadium.
The organizers "went beyond 100 percent capacity... they must be punished", the minister said.
Kinshasa police chief General Sylvain Sasongo had earlier told DRC press agency ACP that nine people had died, amid reports the venue had been absolutely jammed with people for the local favorite’s performance, with one witness saying "even the corridors" of the stadium were overflowing.
"It was a stampede," that caused the deaths, a policeman on the scene told ACP.
The news agency, which had reporters in the stadium covering the concert, said police had cordoned off three areas to secure the pitch, the VIP stand and the stage.
The disaster came hours after the more than 150 people were killed in a stamped at a Halloween event in Seoul, South Korea.