The Multi Sport Arena will be built on the park-and-ride site at Pride Park.
Facilities are likely to include an indoor arena the size of 12 badminton courts, a 250m indoor cycle track, an indoor climbing centre, and a large gymnasium with exercise studios. It is also envisaged that it will be able to be transformed into a 5,000-capacity concert venue. However, the exact specification will be decided only after consultation with local sport clubs and the public.
A planning application is due to be submitted in December. If successful, construction of the Multi Sport Arena will start in June 2012 and is expected to be completed within two years.
The council said that Mace’s bid offered “excellent value for money and was sympathetic to Derby's needs and the needs of the Pride Park site”.
Mace project manager David Grose said: "Mace is delighted to be entrusted with the delivery of one of Derby's landmark projects, having beaten off stiff competition from eight other firms. It is really encouraging to see that Derby is investing in its future with key regeneration initiatives such as the arena.
"Flexibility will be the key to success for the arena. We need to make the best use of the infield area for recreational sport, competitions, events and concerts, whilst maximising access to the velodrome to ensure that we create a facility that appeals to international athletes and puts Derby on the sports map.
"Our team has experience from London 2012, Manchester Commonwealth Games and the acclaimed Apeldoorn centre in the Netherlands, so we know we can pull it off for Derby."