That's according to bookmakers BetVictor, following England' s dramatic win in the semi-final against Denmark last night.
Kane's England teammate Raheem Sterling is his closest competitor to become the first footballer to win the award since Ryan Giggs in 2009.
Sprinter Dina Asher-Smith was the previous favourite before the Euros and ahead of the Olympics in Tokyo she's still a real contender at 6/1.
1. Harry Kane: 10/3 (all odds BetVictor)
Harry Kane is favourite to win BBC's Sports Personality of the Year
2. Raheem Sterling: 4/1
Raheem Sterling is second favourite
3. Harry Kane is favourite to win BBC's Sports Personality of the Year
4. Mark Cavendish: 7/1
Cyclist Mark Cavendish