The former Tottenham manager has also backed Kane to score for England against Slovakia on Monday evening.
England will take on Slovakia in their final Euro 2016 Group B game at Stade Geoffroy-Guichard in Saint-Etienne in a few hours’ time. The Three Lions are at the top of the group with four points from two matches.
Kane has struggled to play well in England’s opening two matches at the European Championship and may not start against Slovakia this evening.
Former Tottenham manager Redknapp has still spoken highly of the 22-year-old and has backed him to find the net against Slovakia if he plays at all.
“Kane is also sweating on his place but, for me, it is not impossible that he starts against Slovakia,” Redknapp wrote in The Telegraph.
“Roy will have looked at the Jamie Vardy situation and maybe sees him as an option off the bench due to his unbelievable pace on the counter-attack. It would not surprise me in the least if Kane scored tonight.”
“Harry is a fantastic player and is currently the best striker in the Premier League,” added Redknapp. “He led the line for Tottenham Hotspur, worked harder than anyone and scored more than Sergio Agüero and Vardy.”
In two matches for England at the ongoing Euro 2016 finals in France, Kane has created three chances, has a pass accuracy of 74% and a shot accuracy of 25%, and has won five headers and three dribbles.
The Tottenham striker scored 25 goals and created 44 chances in 38 Premier League matches last season.
While Kane is a very good striker, it is quite bold of Redknapp to claim that he is the best in his position in the Premier League.
Manchester City star Sergio Aguero is a more established and more experienced striker, and is also the best in the English top flight.