England's Kieren Trippier scored an early goal in the 5th, giving the Three Lions a strong lead.
Kane and Dele Alli, two of five Tottenham players in the current squad, were part of England's doomed Euro 2016 campaign, but they can expect a far more welcoming reception regardless of how their Russian adventure ends. The 24-year-old added: "This will hurt and it's not every World Cup you get to play in a big game like this and it's going to hurt for a while". "We're very proud of what we have achieved but I said at the start of this tournament, we are all winners - we want to win everything we do", he explained.
When Kane got his best chances in the 30th minute against Croatia, his first shot was saved by goalkeeper Danijel Subasic. The ball rebounded nearly out of play, then sat up for Kane to take another shot from less than two yards at a tight angle. An offside was called for the proceeding play so it wouldn't have counted anyway. And Croatia would never let England get so close again.
Kane, who scored six goals in Russian Federation to equal Gary Lineker's record for England strikes at a single World Cup, struggled as Gareth Southgate's side slipped to a 2-1 extra-time defeat at the Luzhniki Stadium that ended their hopes of ending over 50 years of hurt.
Kane captained England through the group stage and past both Colombia and Sweden to reach the semi-finals.
World Cup Daily: Croatia's dream goes on while England wake up.
History in Turin had its echo in Moscow on Wednesday, and England's scorer 28 years ago, Gary Lineker, was at the Luzhniki Stadium to see it.
Back then, a powerful West Germany team edged England in a penalty shootout after a 1-1 draw, and lifted the trophy days later.
In Russia, teams can pay a heavy price for not getting a second goal to reward itself for a dominating period of play. It seems like that may be the case as England are out of the World Cup after being beaten by Croatia.
England learned that in its opening game against Tunisia.
"This will hurt for a while but we can hold our heads up, it's been a fantastic journey but we've got to learn from it and take what we can". There's a lot we could have done better.
"We were really comfortable in the game", said England defender Harry Maguire, who twice rose highest at corners in the first 15 minutes to send headers wide of Croatia's goal. The fans were wonderful, " Kane said.