The opener cracks a brisk 62 as Delhi Daredevils come up 29 runs short in their chase in the Indian Premier League.
Kings XI keep alive IPL semi-final chances after Valthaty inspires
The opener Valthaty added 102 for the second wicket with Australian Shaun Marsh (46) as Punjab made 170 for six before restricting bottom-placed Delhi to 141 for eight to keep alive their hopes of making it to the semi-finals.
The leg-spinner Chawla finished with 3 for 16 from his four overs.
Marsh's best came in the 13th over when he hammered Sridharan Sriram, the left-arm spinner, for 24 runs off five balls, including three sixes. He also hit five fours in his 28-ball knock.
Valthaty, who hit Australian paceman James Hopes for 16 runs in an over, smashed three sixes and six fours in his 50-ball innings.
Irfan Pathan, the paceman, was the most successful bowler with three wickets, including those of Valthaty and Marsh in one over.
Delhi failed to capitalise on a 52-run stand for the opening wicket between Australian David Warner (29) and Naman Ojha (28), losing five wickets in the space of 40 runs.
Shalabh Srivastava did the early damage when he dismissed both the openers in successive overs while Chawla got two wickets and Valthaty, also contributing with ball, taking a wicket to reduce Delhi to 92 for five.