It was a remarkable December for Kane as he scored eight goals in the league in six matches.
Kane grabbed Spurs' second goal just after the break as he latched on to Heung-min Son's cross, finishing from close range.
Just 29.6% of Everton's Premier League points this season have come away from home (8/27), the lowest ratio in the division.
Spurs saw the better of the ball in the opening period and could have taken the lead in the 15th minute.
Kane scored his 97th and 98th Premier League goals for Spurs to break Teddy Sheringham's record as Tottenham eased to victory at Wembley.
Spurs should be good enough to secure a comfortable win here, and given Everton's struggles in front of goal, I can't see them getting past Hugo Lloris.
Although the arrival of Turkish striker Cenk Tosun may yet revitalise Everton's as yet failed effort to replace Romelu Lukaku, Allardyce is keen to shift the blame as far from himself as possible.
Everton had the ball in the net first but Wayne Rooney was correctly ruled offside.
In this photo taken by the EPA, Tottenham Hotspur's Son Heung-min (L) celebrates after scoring a goal against Everton during the English Premier League match between Tottenham Hotspur and Everton at Wembley Stadium in London on January 13, 2018.
"Maybe I have to take the responsibility for playing too many attack-minded players".
If his first half was a display worth writing home about, Son's second half performance was of an otherworldly variety.
The home sides managed to round off the scoring in the 81st minute as Dele Alli's delightful flick teed up Eriksen, who calmly slotted into the bottom corner. If you want to win big things like the Premier League or Champions League that is our challenge.