The right-hander finished on a superb, unbeaten 110 as Barbados Tridents piled up 186 for two off their 20 overs, after being sent in at Kensington Oval under overcast skies.
Pakistani Shoaib Malik chipped in with 49, in a 110-run second wicket stand with Smith that lay the platform for the final assault in the last five overs which yielded 58 runs.
In reply, Zouks were never really in contention and ended on 157 for four off their 20 overs, with a few batsmen getting starts but failing to carry on.
Keddy Lesporis top-scored with an even, unbeaten 50 from 38 balls while Sohail Tanvir struck an entertaining unbeaten 38 from just 18 balls. Andre Fletcher scored 27.
However, it was Smith who wrote all the headlines, punching seven fours and eight sixes in an innings that consumed 69 balls. He reached his first fifty off 39 balls and completed the second from just 29 deliveries in a responsible yet uptempo knock at the top of the order.
Smith signalled his intentions from as early as the first over when he smashed new ball bowler Roelof van der Merwe for 18 runs. The first two deliveries were off-side boundaries and the fourth disappeared over long-off for six, while the final ball was cut behind square for another four.