The framework forms the latest phase of the council's new-build and refurbishment programme for its primary schools estate.
Morgan Sindall will be working alongside two other firms to construct 30 primary schools over a four-year period. The work is part of the council's wider £850m primary schools modernisation programme which will see all 124 of the area's primary schools rebuilt by 2016.
Morgan Sindall has been working on the earlier phases of the South Lanarkshire primary schools modernisation programme since 2006. It has completed nine schools through the programme so far and is currently on site with four others. It has also been working on North Lanarkshire Council's £300m schools modernisation framework since February 2009. In addition, Morgan Sindall is currently completing work on a £7.8m new eco-school in Dunfermline East for Fife Council.
Morgan Sindall Group chief executive Paul Smith said: "This latest framework appointment is testament to the track record we have developed in the Scottish education market, where we are viewed as a trusted partner capable of delivering a quality and cost effective construction service.
"We are delighted to be appointed to the new phase of the framework and look forward to working with the council over the next four years."