"I am convinced that a full election recount in line with existing legislation and procedures will become an important factor in establishing political stability, peace and mutual trust in the Moldovan Republic," Voronin said in a statement to the Constitutional Court.
Protests against Sunday's election results turned violent in the Moldovan capital of Chisinau on Tuesday as some 10,000 demonstrators seized control of the presidential office and parliament building. Some 170 police officers and more than 100 civilians were injured in the clashes. The protesters had demanded a recount of the election results, which they claimed were rigged.
However, international observers from the Organization for Security and Cooperation in Europe (OSCE), the European Parliament, the Council of Europe and the Commonwealth of Independent States have acknowledged that the election was democratic and fair.
Voronin is due to step down on May 7, but his party won just enough seats in parliament in the polls to be able to elect a successor without requiring votes from any other party.
The Moldovan president has accused the opposition of betraying the interests of the country and attempting to trigger a civil war during disturbances in Chisinau. He also accused Romania of inciting the violence in the capital.
CIS foreign ministers condemned the riots during a meeting in the Turkmen capital of Ashgabat on Friday. "We condemned outbreaks of violence and attempts to undermine the democratic process, and urged the resolution of problems exclusively by legal means," Russian Foreign Minister Sergei Lavrov said.