The punk subgenre that combines punk rock with ska is called ska punk, a fusion genre that also draws on reggae’s Jamaican musical lineage.
Ska punk commonly uses punk’s fast tempos, distorted guitars, and energetic vocals alongside ska’s offbeat guitar or keyboard rhythms and prominent horns. Trumpets, trombones, and saxophones are especially associated with the style. Its roots reach back to late-1970s Britain, where punk and ska acts often shared audiences and bills.
The Clash helped popularize punk’s connection with reggae and ska, while the Specials, Madness, and the Beat developed related sounds. Ska punk reached a wider audience in the 1990s through bands such as Sublime, No Doubt, Less Than Jake, Fishbone, and the Mighty Mighty Bosstones. Two-tone is a related but distinct movement that fused ska, punk, reggae, rocksteady, and new wave, so it is not the best answer here.