Souness tipped Kane to fire Spurs to a top-four finish after he inspired them to a victory over Crystal Palace.
After another sluggish first-half performance from Antonio Conte's side, they exploded into life when Kane scored twice in the space of five minutes soon after the break, with Matt Doherty and a rejuvenated Heung- Min Son then extending their lead as they cut the gap to fourth-spotted Manchester
Kane's goals on his 300th appearance in the premier league took him to 266 in all competitions and he also claimed the assist for the fourth with his ball over the top for Son.
"We said before the game that when you've got a player like Harry Kane you've always got a chance and that came to fruition there," said Sky Sports pundit.
If you want a more accessible video player, please use the chrome browser.
His all-round play was just amazing. His touch was exquisite as he held it up. His second goal is just as good as the first one.
We've seen him do it many times. It's just an amazing player.
Kane's second goal, when he controlled Bryan Gil's pass inside the Palace box and fired a drive into the far corner, was similar to the one he scored.
Souness said that he knew where the goal was because of the line on the six-yard box. One English player is truly world class for me.
They'll finish in the top four because they have him. He needs to be kept fit. Mr goals is him. If you have him in your team, you have a good chance of winning the game.
Alan Smith said that it didn't look good at half time. You were wondering how the second half would go for Spurs.
It makes the world of difference when you have a player like Harry Kane.
If you want a more accessible video player, please use the chrome browser.
"Conte will be hoping his center forward can stay fit and the same applies to Son, because they can lead the charge against any quality of opposition." It has been a great night for Spurs.
Kane was supported by Conte to break every record, but also talked about his all-round contribution.
He said in his press conference that they were not explaining the type of player he was. He is going to break every record with the goals.
He is a point of reference for both the goals and the pitch. In the difficult moments, Hugo is our captain, he is ready to fight, ready to help teammates, and ready to solve the situation with goals.
He always has great spirit and great character to overcome difficult situations.
Son hopes his goal will be a turning point in his season after a poor run of form.
He said it was about time. It felt really good. I feel bad for the team because I think they were expecting more from me.
I hope that today was the turning point in my life and that I can help the team.
After Son's goal, Conte embraced him on the pitch and said he hopes his goal serves as a confidence booster.
He told Sky Sports that he's happy because his strikers scored.
It was important for him because he needs to score and feel confident.
It's important for Son. He depends on goals He was the winner of the Golden Boot last year. He hasn't been able to get it this year. He has only scored four goals of the season.
He needs more goals, but this will make him believe. There are some big games coming up.
If you want a more accessible video player, please use the chrome browser.
The 2-0 loss to Villa on New Year's Day was the 10th game in a row in which they had conceded the opening goal, and Antonio Conte was happy to get the reaction he was looking for.
He said it was a good response. It's difficult to win against Crystal Palace on the road. The team is well organised.
"After the first half it was in the balance, then in the second half we exploited chances to score and then we finished with a good result."
The message at half-time was to keep playing, because we started the game very well and then in the second half we lost a bit of the possession.
We have to keep trying and improving.
We are playing with a lot of young players. During the World Cup, I was able to work with the young players to improve their tactical and physical skills.
If you want a more accessible video player, please use the chrome browser.
Crystal Palace's lack of cutting edge and lack of experience was a problem, according to their boss.
He told Sky Sports that it was difficult. It's not nice to give up four goals, but it doesn't show the quality of the game we played today. The chance we created in the first half gave us more.
The first goal made it difficult for us. The way the players managed the game and those difficult periods they had shows a huge difference between the two teams. Today's game was decided by the experience.
We did not take our chance well enough. The players were in a better position to score. The last ball wasn't good enough and Lloris made some important saves.
There are a lot of things we need to improve after we were brave and showed quality.
The kind of game that we play has to be better managed. They were able to score those goals because of their experience. There are many things that can be learned from that game.
You have to give credit to Spurs because they looked solid, in control and waiting for the right time to take these chances. They don't have to create much to score.
It's hard for my players and the club. We have a lot to learn from that.