Macky Sall's coalition won 82 seats of the national assembly's 165 in last month's legislative election.
The ruling coalition lost 43 seats, leaving it in danger.
President also vowed to bring to justice all those who participated in violent protest.
Five people were killed and several others injured in the demonstrations.
The toll is one of the bloodiest in Mali's decade-long insurgency, which has spread from the north of the country to the centre and south and...