March 23 Movement members in seized eastern parts of the Democratic Republic of Congo last year. Rwanda and Uganda are suspected of backing some DRC rebels as a way to fight Hutu rebels who fled in the wake of the 1994 genocide of the Tutsi minority population.
Kagame, a Tutsi, told the BBC allegations of support for DRC rebels like M23 were misguided.
"Why would anyone blame Rwanda for a problem that has been there for the last 19 years?" he said.
The U.N. Security Council passed a resolution recently that authorizes a so-called intervention brigade in DRC. It has a mandate to conduct offensive operations to ensure DRC stability.
Kagame said many of the problems in DRC aren't ones that have a military solution, however.
"If you look at the problems relating to the situation on Congo, they are mainly political, they are not military," he said.