Vertonghen, who moved to Spurs from Ajax in July 2012, has become a regular feature in Tottenham's back four, playing left-back and centre-back over the past two seasons.
"Rumours will always be there, but I just go back to Tottenham," Vertonghen told Belgian talk show Vive le Velo.
"Interest from a great club like FC Barcelona pleases me of course - this is confirmation that you're doing well.
"Where there's smoke, there's fire, they say, but for the moment there is certainly no fire."
Vertonghen, who has not yet returned to pre-season training following his exploits at this summer's World Cup, is also set to commit his future to Tottenham.
"I still had a four-year contract but I see that they have offered me a new five-year contract as a great sign of confidence," Vertonghen told Belgian broadcaster Radio 1.
"It goes without saying that I would like to stay at Tottenham."
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