The practice saw off the likes of David Chipperfield, Wilkinson Eyre, FaulknerBrowns/Heatherwick Studio and Foreign Office Architects to design one of the country's most high-profile projects.
Hopkins director Michael Taylor said: 'We are absolutely thrilled to have been selected to design the Velo Park. The design competition was a great team effort, against formidable opposition.
'We are particularly honoured because the scale and prominence of the Velodrome will make it a defining image of the Olympic Park and a place where we hope world records will be broken.'
The project is one of the 'big four' venues in the Olympic Park and is the last major design competition the Olympic Delivery Authority (ODA) will be running.
Based to the north of the Olympic site, The Velo Park will include a BMX circuit and velodrome that will provide a 6,000 seat stadium.
After the Games, the BMX circuit will be repositioned next to the velodrome with a mountain-bike course added to create a 'cycling hub' for London.
ODA chief executive David Higgins said: 'The winning design team impressed the jury with their understanding of the need to plan the Games and legacy together.
'The winning team have a strong track record in designing innovative and creative projects. I am confident that they can help create both a world-class stage for the best athletes in the world and leave a lasting legacy for cyclists of all ages and abilities for many years to come.'