By Denis Dyomkin
"The law enforcement agencies should keep track of what is happening," he said.
"And if someone tries to exploit the consequences of the financial crisis ... they should intervene, bring criminal charges. Otherwise, there won't be order."
Russia's benchmark RTS <.IRTS> stock exchange has fallen about 70 percent since May, making it one of the worst performers among emerging economies.
He also said there was a risk of greater extremism and racial tension centred on the millions of immigrants working in Russia, most of them from former Soviet republics.
Kremlin opponent and former world chess champion Garry Kasparov predicted this week the crisis would bring new recruits to the opposition. He has announced the creation of a new anti-Kremlin coalition, called Solidarity.
Kasparov and his allies in the past have staged street protests that were dispersed by police but they have failed to gather widespread support or win any seats in parliament.