Kane's goals inspired Spurs to a 3-1 win in their Champions League opener and helped lift the club's curse at Wembley, where they had won only two of their previous 12 fixtures.
Earlier, Dortmund's Andriy Yarmolenko had cancelled out Son Heung-min's early strike with a stunning long-range effort but the contest belonged to Kane thereafter.
The England forward now has four goals in as many Champions League appearances and six in his last four matches for club and country.
"He is fantastic, you saw that today," Pochettino said. "To score goals in the Champions League means he will get the credit he deserves. He is one of the best strikers in the world."
Tottenham's evening was slightly soured by the late dismissal of Jan Vertonghen, who swung an arm into the face of Mario Gotze and is now set to miss at least the trip to APOEL later this month.