The 27-year-old's cool finish was in stark contrast to his much-maligned penalty howler in Palace's 2-0 defeat at Spurs last weekend.
Puncheon met the final whistle with palpable relief, wiping tears from his eyes and punching the air in delight, as Palace eased out of the relegation zone.
"We had no problems with Punch, he missed a penalty albeit by a great distance, but that's what happens in life," Palace manager Tony Pulis.
"You get ups and downs, especially being a professional footballer.
"The most important thing was for him to get back on and do what he does best and that is play football.
"He's a good player, he can do things, create chances and score goals, and that's more like falling off a bike for the first time.
"You make sure you get back on that bike quickly and start pedalling again."
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