The proposals, which involve sites at Dartford, Rochdale and Doncaster, come as Balfour attempts to turn around its UK construction arm following a profits warning at the end of April.
The three locations currently employ between 50 and 90 people, although Balfour said it was too early to confirm the number of redundancies.
Balfour said the Dartford site was set to close because of insufficient construction activity and a high cost base, while the two smaller locations in Rochdale and Doncaster are no longer sustainable.
The three locations account for around 8% of the company's UK regional business, which generated £1.5 billion in revenues last year.
Balfour has been carrying out a review of the UK construction business in order to address the issues behind April's warning that profits will be much lower than expected earlier in the year.
It has appointed Nick Pollard, who has been chief executive of Bovis Lend Lease UK and held senior roles at Network Rail, to run the business.