Brendan Rodgers admitted Leicester experienced “bitter disappointment” after missing out on the top four again.
Leicester paraded the FA Cup after the final whistle to their supporters which softened the blow of a 4-2 home loss to Spurs.
But boss Rodgers felt their squad size caught up with them as Spurs came from behind twice to win with a late brace from sub Gareth Bale.
It left the Foxes fifth despite spending 242 days this term in the top four as they just missed out on Champions League qualification on the final day for a second successive season.
Rodgers, whose side were already without Jonny Evans and lost fellow stopper Wesley Fofana to injury, reflected: “We were twice up in the game.
“There is huge disappointment but also pride how we have fought right until the very end.
“It is bitter disappointment and it hurts at the moment but the players have given me their heart and soul.
“You see the bench Tottenham have when they need to change the game.
“We struggled without the presence of Wesley going off early and Jonny not being in there.
“My overriding feeling in a couple of days, I will be very proud of the players , we have kept it going right until the very end.
“And to win the Cup last Saturday was an amazing feeling.”
Youri Tielemans, who hit a brilliant winner against Chelsea at Wembley, was named Leicester's player of the season.
Tielemans , speaking on the pitch after the final whistle, said: “I am really sad for you guys that we didn't win but what an amazing week with a trophy for the club.”
Title-winning skipper Wes Morgan spoke to the crowd after confirming his retirement.
The defender said: “Apologies for not making the Champions League spot, next season we will come back better and stronger don't worry about that.”
Keeper Kasper Schmeichel, at fault for Tottenham's second equaliser, said: “We are very disappointed.
“We just didn't have enough in the end.
“We can definitely learn from it.
“But we have achieved one of our major objectives which was to win the FA Cup.”
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