With the victory at Stamford Bridge on Thursday, Chelsea have climbed back into the league's top four while Spurs languish in 14th.
As when these teams met in north London last season, VAR played a prominent role, ruling out goals from the home side's Moises Caicedo and Tottenham's Pape Sarr after half-time.
In Postecoglou's view the technology was "killing the game".
"It's not the same game it used to be. You just don't know what you're going to get and you're standing around for 12 minutes," he said.
"It's killing the game but no one cares about that. I think everyone loves the drama, the controversy.
"I'm sure there'll be 24 hours of discussion around it, I think that's what everyone wants. It's killing the spectacle of the game."
Postecoglou appeared more unhappy that it took so long to come to a decision, rather than the decision itself.
"If the ref saw that and needed to see that for six minutes, tell me what's clear and obvious about it," he said.
Spurs had themselves to blame for Chelsea's opener five minutes into the second half, leaving Enzo Fernandez unattended for a simple header.
Later, Caicedo thumped the ball into the bottom corner only to be denied after a hugely protracted VAR check that judged Levi Colwill had strayed offside by an almost imperceptible margin.
Spurs were then themselves denied by a pitchside review after Sarr had lashed in what looked a stunning equaliser from long range, the Tottenham substitute having caught Caicedo on the knee in winning the ball for which he was shown a yellow card.
It came after Spurs fans had serenaded their Australian coach with a chant of "you don't know what you're doing" when Postecoglou brought on Sarr to replace Lucas Bergvall.
Postecoglou then appeared to face the fans and cup his hand to his ear after Sarr scored the goal that was later disallowed.
"I wanted them to be happy, mate," Postecoglou said as an explanation. "We'd just scored a cracking goal. I wanted them to cheer because they hadn't had a lot to cheer about.
"My subs have been booed, it's not the first time. They are allowed to boo. But I wanted them to cheer because it was a cracking goal."
Chelsea boss Enzo Maresca was able to toast a well-earned three points.
"We know how important it is in this moment to win games, but since we start we try to win games in the way we want," he said.
"I think tonight the performance was very good and we are happy."
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