Liverpool striker Suarez grabbed the second of two opportunistic goals in the 85th minute of a tense Group D battle in Sao Paulo after Wayne Rooney had looked to have rescued a point for England with a 75th-minute equaliser.
The defeat leaves England, beaten 2-1 by Italy in their opening match, needing a miracle if they are to reach the second round of a World Cup, something they have not failed to do since 1958.
"We are more then disappointed, we're devastated," England manager Roy Hodgson said after the loss, describing his side's chances of remaining in the tournament as "unbelievably slim.
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"To be sure of continuing we needed a result today, a draw or a victory, and we didn't get it," he added.
Suarez -- named English football's player of the year after a superb season for Liverpool -- had been a doubt for the World Cup after undergoing knee surgery in May.
However the 27-year-old returned to haunt an England side containing five of his Liverpool team-mates.
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