Tatton joined the firm in 2014 to head up its Thomas Vale operation and was appointed CEO of Bouygues UK a year later.
The Thomas Vale brand was dropped last year by Bouygues and Tatton left this summer.
Bouygues UK said: “Following the successful integration of Thomas Vale into Bouygues UK, including establishing our office in Manchester, Craig Tatton has left to pursue another career opportunity.
“Bouygues UK is performing well, in line with expectations and we thank Craig for his valuable contribution and wish him every success for the future.”