The wicketkeeper hit an unbeaten 104 from just 64 balls to help his side post a competitive 169-6 at the break, although no other player made it past 21 for the home side.
Tabraiz Shamsi was impressive with the ball, going for just 20 runs from his four overs and also picking up the wicket of Hussain Talat.
The Proteas made a fast start in their reply, racing to 53 in the seventh over before three wickets fell for 30 runs as Pakistan came back into the contest.
Usman Qadir led the way with the ball, picking up figures of 2-21 from his allocation of overs, including the wicket of Janneman Malan who got the visitors off to a fine start.
The South Africans were always some way off their victory target but some lower order hitting got them close in the final over, but they just fell short of victory.
The two teams will meet again in two days time for the second T20 of the series, also in Lahore.
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