Opting to bat after winning the toss, Saurashtra were all out for 195 in 48.4 overs at the Madhavrao Scindia Cricket Ground.
Cheteshwar Pujara top-scored for Saurashtra with 73 off 113 balls. He hit six boundaries. Opener Sheldon was the next best scorer with 32 off as many balls, but the others struggled to do anything of note.
Rishi Dhawan and Ronit More picked up three wickets apiece, while Pankaj Jaiswal had two.
Opener Ankur Bains top-scored for Himachal with 76 off 109 balls, while Robin Bist made 44 off 64, as they completed the task with 40 balls to spare by reaching 197 for three.