Ahmad Ibrahim missed a glorious chance for Jordan and Nicolas Lodeiro sealed the result from 20 yards.
Cristian Rodriguez added a fourth and Edinson Cavani a superb free-kick to free run+ 4.0 all but eliminate Jordan.
Uruguay’s World Cup play-offs
The 1930 and 1950 World Cup winners – who have required play-offs to reach the last three finals – now host Jordan in Montevideo in the second leg next Wednesday, with the outcome seemingly a formality.
Uruguay had finished fifth in South American qualifying, edged out of the automatic places by Ecuador on goal difference, but with Liverpool striker Luis Suarez partnered up front by Paris St-Germain’s £55m striker Cavani, they were always likely to have too much firepower for Jordan. The Middle East nation, who had beaten Uzbekistan in Asian qualifying to reach the play-off, have never appeared at nike free run plus 2 running shoes the World Cup.
Suarez should have scored inside five minutes but shot over after Rodriguez had crossed from the left.
Pereira did open the scoring when Cavani’s header was parried clear by goalkeeper Mohamad Shatnawi, before Lodeiro lofted a clever pass over the top of the defence and Stuani finished at the near post.
Jordan started the second half on top and could have found a way back into the tie when Ibrahim missed a glorious opening, side-footing wide from six yards.
And Uruguay went on to put the tie out of reach.
First Cavani rounded Shatnawi to set up Lodeiro, who lofted cleverly into the nike free run plus 3 roof of the empty net, before Rodriguez cracked in a half-volley from 15 yards.
Cavani then scored the goal of the night in stoppage-time, arcing a brilliant free-kick into the top corner from 25 yards.