Edinson Cavani, who failed to finish the match after suffering a late injury, scored a superb goal in each half, and although Pepe scored in-between, it was not enough to halt the Uruguayans, who have now won all four of their matches so far in Russian Federation.
KAZAN, Russia (AP) - With Lionel Messi out of the tournament, the World Cup has a new star.
Cristiano Ronaldo went goalless, something his fans could not digest.
Uruguay has gone deep into the World Cup before, even with some of the same players, yet after four straight wins, it's clear there is something more to the group that Oscar Tabarez has brought to Russian Federation.
Uruguay and Portugal have faced off on two previous occasions, but never at the World Cup.
They are the product of "convictions, group cohesion, to know what we're playing for", Tabarez said. Uruguay, however, soon demonstrated their hunger to win, with Cavani's one-touch curler.
While Suarez seemed to play down or avoid questions about Ronaldo, it's clear Uruguay must continue to have the tightest defence in the tournament to keep Ronaldo and others under control.
Fernando Santos threw on Andre Silva as Portugal tried to find a way through, but defensive duo Diego Godin and Jose Gimenez held a frustrated Ronaldo at bay, the Portugal captain picking up a late booking for dissent as his emotions ran overboard in the closing stages.
Ronaldo nearly had a chance at goal on 20 minutes but a timely clearance by Gimenez six yards was enough to keep Ronaldo at bay.
"I think that shows their organisation, but I hope we're going to be the ones to break that", he said.
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I would keep him in the side - that would be tough on Ashley Young but you need that left-footed player in the team". Did they want to lose? Didn't they? They certainly celebrated as though they did.
Ronaldo won Euro 2016 with Portugal and has proven himself to be his country's greatest ever player.
There were just seven minutes on the clock at Fisht Stadium in Sochi when Suarez and Cavani combined to devastating effect to put the South Americans ahead.
"Cavani has to thank Suarez today, but his movement has always been brilliant, finishing not always great but, for the first, he improvises brilliantly", said Keown.
Uruguay, a two-time champion that reached the semifinals at the 2010 World Cup, will next face France on Friday in Nizhny Novgorod.
In the 71st minute, Uruguay was reduced to 10 men when Cavani limped off from the field and was helped by Ronaldo, inviting a round of applause from the spectators.
The 33-year-old began the tournament in thrilling fashion, contributing an extraordinary three goals in Portugal's 3-3 draw against Spain on June 15, and five days later scored the only goal in Portugal's 1-0 win over Morocco.
Uruguay advanced to the quarterfinals after eliminating a Portugal team led by Cristiano Ronaldo.
"Now we have a very strong opponent in France", Tabarez said.