The 25-year-old finally completed his £10 million transfer to White Hart Lane this week after a dispute over money delayed his arrival.
"It feels good to be a Tottenham player and be here at this club," he told the Daily Mail.
"It was something between me and Ajax that delayed it. It is a long story, but it was over a small amount of money.
"At the time, I was concerned. But in the end i just told my manager please close the deal."
After finally making the move to Spurs, the two time Eredivisie champion has explained how it was chairman Daniel Levy who convinced him to move to north London.
He continued: "My mind was made up by the feeling [chairman] Daniel Levy gave me. He invited me to the club and came over to Amsterdam to see me.
"He told me he really wanted to have me at the club and that gives a player an amazing feeling. It is important that a club wants you. Now I'm here, I really love the white shirt. It is a dream come true.
"They are a really quality team and I hope to finish as high as possible. Last year, they were in the race for the Champions League for a long way and we have to try that again."
The 25-year-old has also stated that the way Spurs play football attracted him.
He added: "I was impressed by the way Spurs play their football - it is similar to the way Ajax play - and that was one of the reasons I came here.
"But the Premier League is different to the Dutch league, the tempo and level is higher and I hope the early start will help me get to that level."
After being used to being a champion at Ajax, Vertonghen hasn't dismissed the thought of winning the Premier League with his new club.
He said: "It is possible at the moment when I see these players - we have a lot of quality to get to the first positions, so why not? I won the title last season and this year I want to do the same."