The firm has been in line for the £52m development for client Marcol Estate for two years.
The development will see the creation of 272 one and two-bedroom apartments in a 30-storey tower at Guildford Crescent, close to the centre of Cardiff.
The building will include a fitness studio, games room and resident lounge, along with flexible workspace and bookable private dining areas.
Residents will also benefit from a roof top landscaped terrace on the 27th floor providing panoramic views across Cardiff Bay, the city centre and to the countryside beyond.
Bill Hocking, Chief Executive of Galliford Try, said: “Build to rent is a key area for growth within our business’s Sustainable Growth Strategy.
“The Guildford Crescent scheme is the first of a number of similar schemes we are taking on in this space and we look forward to creating fantastic new living spaces for the community in Cardiff alongside our partners.”