The move, which should be rolled out in time for the 2010/2011 Premiership season that begins in August, is part of a £200m investment by BT in its digital TV service.
Arqiva, which is the company behind online TV service SeeSaw, will be responsible for providing BT with the infrastructure that ensures its TV-on-demand service can offer Sky's most popular sports channels.
"Offering Sky Sports 1 and 2 to our customers is clearly an important milestone for both BT and of course our customers," said Marc Watson, chief executive of BT Vision.
BT didn't indicate how much it would charge its Vision customers to access the new channels.
See also: BT Vision unveils new set-top box