It was harder than the bill would suggest, even for Kane, who did not convert a penalty. But the English striker scored in the fifth and 81st minutes, earning his team three points.
His first was a fast finish that the goalkeeper left Dean Henderson as if rooted to the spot when the ball rolled into the bottom corner.
But from that moment on, the hosts improved and had most of the ball, even if they could not create clear chances.
After the break, Forest were still the team creating the most chances and Ryan Yachts was a loose heading than he was to do better.
On the other end Steve Cook raised his hand to clear a cross into the box, awarding a clear penalty and finding he was lucky not to be sent off, but Henderson also extended a strong hand to push away Kaneattempt.
That saw the home crowd roar their team ahead and Anthony Conte something had to change, so he felt on Richarlison.
The Brazilian struck Kane for a second with his head, sealing three points. Total now 10 points for spurswho had a positive start to the new campaign.