The Council will provide 24 new class spaces, being delivered in conjunction with partners Hub South East Scotland Ltd and Morrison Construction, for the start of the 2015/16 school session.
The primary schools where the new class spaces will be provided through Hub South East Scotland are: Clermiston (4 classes), Flora Stevenson (3), Gilmerton (4), James Gillespie's (4), Pentland (3), Ratho (4) and Wardie (2).
In addition South Morningside Primary School will have a temporary annexe created for P1 and P2 pupils at the former Deanbank Resource Centre and extra internal space will be provided at both Brunstfield and Liberton Primary Schools.
Currently there are 28,010 primary school pupils but latest estimates show this will rise to 31,700 by 2020 and then increase further to 35,400 by 2030.
Councillor Paul Godzik, Education Convener for the City of Edinburgh Council, said: "Dealing with rising rolls is a challenge, but it is a challenge we are meeting. This year we have provided an additional £5m to tackle rising school rolls, taking the total funding allocated to nearly £20m. Since 2013 we have delivered an additional 46 modern, high quality class spaces in our primary school estate and a further 24 will be delivered for this August.
"No other Council in Scotland has taken such an innovative and collaborative approach to tackling this issue.
"Key to this is our extensive consultation with local school communities and we will continue to work with them and listen to parents' views as we move forward. Whether it is delivering entirely new buildings, extending existing buildings or reconfiguring existing space, we are committed to providing the very best educational environment for our pupils."
Paul McGirk, Chief Executive of Hub South East Scotland Ltd, the Council's development partner, said: "This is the third year running that we have worked with the Council on the Rising Rolls programme - a testament in itself to the success of this collaborative effort.
"We are proud to have played our part in finding innovative solutions to assist with the issue of rising school rolls. Previous classrooms have been very well received and we look forward to ensuring even more staff and pupils benefit from modern, fit for purpose facilities in time for the start of the new school year."
Eddie Robertson, Regional Director, Morrison Construction - Central, said: "We are delighted to be able to continue our relationship with the City of Edinburgh Council and Hub South East Scotland Ltd and look forward to delivering on all these projects and to create buildings that will serve the whole community, as well as significantly enhancing the facilities for education in the city.
"Now in its third phase, the Rising Rolls programme is an excellent example of the strong partnerships built between all of those involved, one which Morrison Construction is rightly proud of."
Eight primary schools have already been identified by the City of Edinburgh Council as potentially having accommodation issues for August 2016 due to rising rolls - Balgreen, East Craigs, Ferryhill, Fox Covert, Granton, Roseburn, St Mary's RC (Leith) and Towerbank Primary Schools. Discussions have already started with the school communities to consider the best options if additional accommodation is required.