Mauricio Pochettino's men may have put up a fight with two second half goals but in truth they were taken to school by a Barca team driven on by the brilliant Lionel Messi.
It means they have now lost both their opening matches and are already six points off the pace of the Spanish club and Inter Milan as they chase qualification to the knock-out stages.
And it all started going wrong just 93 seconds into the game when a huge howler from Hugo Lloris gifted the La Liga champions the lead.
Lloris went AWOL to the corner of his area when there was no chance of him getting the ball, and Philippe Coutinho drilled his shot into the empty net.
Twenty minutes later they fell further behind through a stunning strike from Croatian World Cup star Ivan Rakitic.
Coutinho fluffed his attempt at goal but then looped a ball back to the edge of the area, where Rakitic leapt and struck a sublime volley in off the post.
Barca ran riot and should have at least doubled their lead, with Messi twice seeing efforts cannon back off the post.
And from nowhere Spurs suddenly found a route back into the game when Harry Kane produced his own piece of magic to cut inside and curl a shot into the bottom corner on 52 minutes.
The joy was short-lived, however, as Barca restored their two-goal advantage when Messi finished off a brilliant move to pass his shot into the net.
Yet Spurs refused to lie down despite being given a chasing for large parts of the game, and on 66 minutes they scored a second through Erik Lamela's deflected shot.
Harry Winks began to grow into the game in the latter stages. and he fed Lucas Moura to test Marc-Andre ter Stergen from distance.
And Moura was only denied an equaliser by a brilliant late block from Clement Lenglet as Spurs mounted a desperate late push for a draw.
But all hopes were dashed in the last minute when Suarez produced an amazing dummy to leave Messi in space to slot home his second and Barca's fourth.
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