Klopp had lost his two previous Champions League finals, against Bayern Munich as Borussia Dortmund boss in 2013 and last year against Real Madrid, the 2016 Europa League final and three domestic cup finals in Germany and England.
"I'm so happy for the boys, I'm so happy for my family, they suffer every year when we go to a final ... they deserve it more than anybody," Klopp said to BT Sport.
"It's maybe the best night of my life."
Liverpool clinched their first European trophy since 2005 after a poor contest with fellow Premier League outfit Spurs, and Klopp hailed his side's guts to win the title despite obvious tiredness.
"Did you ever see a team like this, fighting with no fuel in the tank any more?" a jubilant Klopp added.
"This is great for our development because it's always like we'd be doing good steps but people say 'so what you didn't win anything'."
Managers in Germany are usually doused in beer after winning a trophy but when asked about that tradition, Klopp laughed: "Usually 20 minutes after the game I'm already half pissed, and here I didn't even get a water!"