The Cape side led 16-8 at the break. Kolisi was one of the four try scorers for the home side and the a lively performance deservedly earned him the Man of the Match accolade.
It was a powerful display by the Springbok-laden home pack of forward that paved the way for a convincing win and just the right send-off for their four-match Australasian tour.
Dan du Plessis scored their only try of the first half in answer to Bautista Deguy’s earlier try. SP Marais converted and slotted three penalties for an eight-point halftime lead.
The home pack came out tops in the forward battle and they used the driving maul to great effect, setting up the three second-half tries by Kolisi, scrumhalf Herschel Jantjies and replacement No 9, Justin Phillips.
Robbie Fleck’s team now travel to New Zealand where they play the Hurricanes next week in the first of four away matches while the Jaguares have a bye.
DHL Stormers 35 (16) - Tries: Daniel du Plessis, Siya Kolisi, Hershel Jantjies, Justin Phillips; Conversions: SP Marais (2), Jean-Luc du Plessis; Penalties: Marais (3).
Jaguares 8 (8) - Try: Bautista Delguy; Penalty: Joaquin Diaz Bonilla.