Kane got off the mark in the league with the second goal in his side's 3-2 win over Newcastle United on Sunday.
The goal initially appeared illegitimate due to offside, but VAR correctly awarded the goal after Kane appeared level with the last man of the Newcastle defence.
And Redknapp was impressed with the England captain's display.
Speaking on Sky Sports, Redknapp said: "Kane comes alive once he sees Hojbjerg gets the ball and it's a lovely finish, so delicate, so cute.
"It's a delicious finish, just lifts it over him. Form is temporary, class is permanent. Manquillo keeps him onside, it's a brilliant run."