Work will start on site this month with completion expected in 2019.
The 215,000 sq ft tower will provide 192 new homes, including 59 earmarked for Imperial key workers at below market rents.
The deal is the third project on the White City Campus to be awarded to Laing O’Rourke.
The firm is only a few months away from completing the construction of the 270,000 sq ft Molecular Science Research Hub and 250,000 sq ft Translation and Innovation Hub.
Paul Sheffield, Managing Director of Laing O’Rourke’s Europe Hub said: “We are delighted to be continuing our ongoing relationship with both Imperial College London and Voreda and look forward to delivering a residential building which will create a landmark building for the White City Campus”
Graham Stark, Imperial’s Development Director for the White City Campus said: “This new residential tower is another exciting step for Imperial in White City.
“It demonstrates our long-term commitment to delivering a vibrant mixed use community.
“The tower is an integral part of our new 25 acre innovation campus and further establishes Imperial’s presence in the area for generations to come.
“The Campus itself is the largest single development in the College’s history and offers huge potential for the local area.”