The two players have been training with the club since the start of pre-season and will both be available for selection when Leopards go back to their traditional home Thohoyandou Stadium to host Golden Arrows in the opening First Division match.
Leopards have not used Thohoyandou for the past six years due to a lack of maintenance.
Shivambu, an experienced midfielder, has recently battled in his career since being offloaded by Platinum Stars, but will be hoping to rekindle the good times he had at Moroka Swallows during his peak.
Also signed is young defensive midfielder Kgotso ‘Jali’ Mogagabe on a five year deal. Mogagabe was previously at the School of Excellence.
Staying put at the club is Zimbabwean striker Brian Amidu, who recently trained with Swallows in the hope of winning a move back to the PSL.