The company will provide mechanical, electrical and public health works on the Vista site at Chelsea Bridge.
A team of 18 HE Simm staff is now on site with numbers expected to hit 70 over the 96 week project.
HE Simm Project Executive Dean Meredith said: “We are delighted to have commenced on the MEPH works for Vista, Chelsea Bridge.
“We have developed an exceptional relationship with the Berkeley Group and we are delighted to be working with them again so soon after completing the project at One Victoria Road.
“Alongside the Berkeley Group, HE Simm is committed to green energy and our aim is to gain the Code for Sustainable Homes at Vista which will demonstrate the project’s renewable energy credentials.”