The Welshman scored after Jan Vertonghen had put Spurs ahead to end their three-match losing streak and solidify their grip on a place in the top four of the Premier League
Andre Villas-Boas' side had suffered defeats against Liverpool, Inter and Fulham in their previous three games but claimed maxiumum points thanks to first-half goals from Jan Vertonghen and Bale.
"It was important for us to get a win," Bale told reporters. "We had lost our last three games in all competitions, so it was important to stop the rot and try to kick on.
"We're still in the running for our objectives and hopefully we can fulfil them.
"We're in a great position now for Champions League qualification and that's the most important thing. It was a great result for us, so hopefully we can keep this run going now."
Belgium defender Vertonghen, meanwhile, admitted that he had rarely experienced such a prolific spell from the back after notching his fourth goal in five matches.
"I'm very pleased to score," he enthused. "For a club I don't think I've had such a run of goals, but I've always scored quite a lot of goals for a defender, so I would say it's a good run.
"I always try to score. I scored one and I wanted to go for a second one, but I don't care who scores. I'm just aiming for third or fourth place. If we finish in third or fourth place without me scoring again, I'll be happy."