Bale opened the scoring in the sixth minute when he glanced home Gylfi Sigurdsson’s cross, before the Iceland international added one of his own and Jan Vertonghen made it 3-0 shortly after half-time.
And the 23-year-old Wales international, who has now only failed to score in one of his last nine matches, was pleased to keep his impressive run going.
“We played well,” Bale, who will miss the return leg at the San Siro after picking up a yellow card on Thursday, told Tottenham’s website.
“I thought we set the tempo from the first whistle and made it difficult for them. It was a great performance and a worthy result.
“It’s always nice to get a goal. I’m enjoying my football at the moment and it was a great performance. We take a good lead into the second leg with no away goals for them.”
And Spurs boss André Villas-Boas was also thrilled with the manner of his side’s commanding victory.
“It was a great European night and a great win for the lads,” said the Spurs coach.
“After we beat Lyon there was a buzz in the dressing room to play an opponent of this dimension and we managed to have a great performance.
“The players pressed hard and caused Inter lots of problems. We had some good chances and could have made it 2-0 even earlier.”
Get enhanced odds of 18/1 on Andy Murray to win Wimbledon or 10/1 on Novak Djokovic when you open a Paddy Power account.