Nine firms submitted bids for the multi-sports arena project but Mace impressed with its designs and offered the best value for money with a £20m scheme.
Work on the Derby sports arena should now get underway in June next year and take two years to complete.
The arena will house a 12-court sports hall and 250m cycle track and is designed to be converted easily into a 4,000 seat concert hall.
Mace is also presently acting as project manager for the rebuilding of Derby’s Council House and oversaw the London 2012 Olympics velodrome.
The city council said building a new arena made more sense than repairing Derby’s existing sports facilities.
The new arena will be built on the site of a council-owned park and ride and will also incorporate badminton courts and dance studios.
Hilary Jones, deputy leader of Derby City Council, said: “We decided to rebuild because in the longer term that’s going to offer better value for money.
“If you have a completely new facility you can factor in all sorts of things like energy-saving and modern standards so that hopefully it will last for many years.”