Chand, a former India Under-19 Captain, starred with a 45-ball 68 to help lead the Knight Riders to 162-7 from their 20 overs after being put in to bat by the Super Kings.
The 31-year-old hit six fours and three sixes and was well supported by Nitish Kumar who hit 26 off 17 balls including a four and two sixes.
Left-arm pacer Zia-ul-Haq took 2-16 from three overs for the Super Kings while Aaron Hardie and Marcus Stoinis took two wickets, each.
The Knight Riders were then able to restrict the Super Kings to 150-8 from their 20 overs thanks to some tight bowling throughout the innings.
Devon Conway led the Texas batting charge with 53 off 39 balls including four fours and two sixes while Calvin Savage made 29* off 18 balls.
Pacer Ali Khan took 4-33 from his four overs while Spencer Johnson bowled brilliantly up front on his way to figures of 2-18 from his four overs.
Sunil Narine was economic as usual with 1-23 from his four overs while Andre Russell went wicketless, conceding 25 in three overs.
Full Scores:
Los Angeles Knight Riders162-7 off 20 overs (Unmukt Chand 68, Nitish Kumar 26, Zia-ul-Haq 2-16, Aaron Hardie 2-26, Marcus Stoinis 2-37)
Texas Super Kings150-8 off 20 overs (Devon Conway 53, Calvin Savage 29*, Ali Khan 4-33, Spencer Johnson 2-18)
The Patriots finished third in the points table and they will face the Guyana Amazon Warriors in the second semi-final which takes place later that same day.
It was the bowling of Ali Khan and the batting of Kieron Pollard who took the Knight Riders to victory, a win they wrapped up with an over to spare.
The Patriots got off to a steady start thanks to Joshua Da Silva who had been pushed up to open in the absence of the injured Devon Thomas. The young wicket-keeper batsman kept things steady after Chris Gayle was dismissed for 5 when he edged a ball from Ravi Rampaul through to Denesh Ramdin.
Da Silva went on to top score, making 50 from 45 balls, but there was no really substantial partnership in the Patriots innings. Sherfane Rutherford and Dwayne Bravo both made 25 but just as it looked as if they would launch in the death overs they were both dismissed in the midst of a 10-ball period that saw the Patriots lose four wickets.
Rather than exploding over the line, the Patriots limped to 147-7 with Ali Khan the star for the Knight Riders, claiming 3-19 on his return to the starting line-up.
The Knight Riders chase got off to a sedate start as they reached 34-1 at the end of the PowerPlay. The only wicket to fall in the first six overs was that of Lendl Simmons who was dismissed by a brilliant Fabian Allen catch at backward point off the bowling of Naseem Shah.
Two wickets in three balls pinned back the Knight Riders innings with Ramdin and Colin Munro both dismissed. Things changed when Pollard came to the crease as he made his way to fifty from just 20 balls.
Pollard was dismissed just two balls after passing his fifty but the Knight Riders lower order saw them to victory.
Scores: Trinbago Knight Riders 150-6 (Pollard 51, Udana 25; F Ahmed 2-16, F Allen 1-9) beat St Kitts & Nevis Patriots 147-7 (Da Silva 50, Bravo 25, Rutherford 25; Ali Khan 3-19, Udana 2-28) by four wickets