Steve Crummett has been recruited to replace him from 25 February. Mr Crummett was finance director of plastics firm Filtrona from 2008 until September 2012.
Mr Mulligan will leave on 10 April following a handover period.
Morgan Sindall chairman Adrian Martin said: “On behalf of the board I would like to thank David Mulligan for his significant contribution and commitment to Morgan Sindall over the past 15 years. In his time with us, David has been instrumental in developing strong reporting disciplines and controls and has been a collaborative and supportive member of the team.
“I am delighted that we have recruited a person of Steve Crummett's calibre as finance director. He has gained substantial and wide-ranging experience across a number of businesses and has valuable and significant skills which are relevant to Morgan Sindall as the business continues to focus on growth opportunities for the medium to longer-term.â€
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