He believes this is both Russia's internal security problem, and the one facing the global community at large.
Within 1999 and 2003, the number of contract murders perpetrated by organized criminal groups and organizations increased eight-fold, from 3,300 up to 26,000, said Mr Stepankov.
Every third crime of these is connected with smuggling, every fourth crime - with terrorism, every fifth is a contract murder, added Mr Stepankov.
Particularly dangerous are crimes related to illegal migration, drug and arms trafficking, and money laundering, according to him.
Mr Stepankov believes the ongoing effort to streamline laws and the integration of the global community will help counter organized crime.
"Even the most powerful country is not able to fight international organized crime on its own," emphasized Mr Stepankov. The terrorist enclave in Chechnya emerged because a number of countries had underestimated the danger, according to him.
He said the UN General Assembly should adopt a series of statutory acts that would stipulate legal responsibility for assistance to terrorist organizations.
Moreover, the General Assembly should work out measures against public organizations raising funds for terrorist groups, according to Mr Stepankov.