The Egyptian Popular Current has called for a "yes" vote to the draft constitution and nominated its founder, Hamdeen Sabahi, for presidency.
In a statement on Saturday, the Popular Current said that it will soon begin a campaign for Sabahi who came third in last year's presidential election that brought the Muslim Brotherhood's Mohamed Mursi to power.
The movement called on Egyptians to vote for the new constitution that will be put to a referendum early next year, describing it as a positive step in the path for democracy.
It added that even though not all of the constitutional articles are satisfactory, the bands related to rights and freedoms make up for them.
A 50-member assembly, formed after Mursi's ouster, finished writing a new constitution last month and presented it to the interim president earlier this month.