The Portuguese replaced Harry Redknapp in the summer and has won eight of his 16 league games in charge so far, with the club currently in fifth place.
However, they have developed a habit of conceding late goals, which has hindered their attempts to compete for a top four spot.
They have conceded 13 goals in the last 15 minutes of their 24 games in all competitions this season. Had their games finished at 80 minutes, they would be top of the table.
That has led some to question the tactics of Villas-Boas, though Vertonghen has been quick to defend the former Chelsea manager.
He believes the 34-year-old is trying to encourage attractive, attacking football at White Hart Lane and has the players that suit such tactics.
He also feels that they are good enough to finish in the top four for the third time in four seasons, despite their recent late slip-ups.
"He loves attacking football, and we have the ability to do that," the former Ajax stopper told The Independent. "I like him as a man. I think he is a very good man and he is good for his players.
"He shows the same ambition. He talks with me. I think he is a good manager.
"Yeah we can [finish in top four] Still we need to do a lot of work but we can get fourth."