On the second anniversary of the start of the Syrian uprising, the pair will urge summit members in Brussels, to bring forward the end-of-May date for reviewing the existing arms embargo against Syria.
Currently, the embargo only allows for "non-lethal" military support.
Mr Cameron and Mr Hollande decided to make the arms embargo a priority over the scheduled discussion on the economic crisis.
David Cameron and Francois Hollande have failed to convince other EU leaders to overturn Europe’s ban on arming Syrian rebels.
The UK and France have forced an EU discussion on Syria to try and change the arms embargo.