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Goals from John Terry and Diego Costa either side of half-time sealed victory for the Premier League leaders at Wembley.
On a day when title rivals Manchester City were beaten by Liverpool at Anfield, Mourinho felt his side were deserved victors.
"My players strategically were fantastic," he told Sky Sports.
Article continues below"I have a concept about finals and we can't win every one. But we have great balance, we were very compact and we pressed them really well, We didn't have problems other than a couple of chances.
"We controlled the game really well, I was expecting more from counter-attacks but we played how we should play a final.
"The League Cup has prestige but after the celebrations in 20 minutes it will be over, goodbye.
"We have another game on Wednesday [against West Ham in the Premier League].
"We took the competition seriously and had difficult matches. Today we couldn't play without [the suspended Nemanja] Matic so we had to find solutions. It is beautiful to win again."
On Spurs, who huffed and puffed but struggled to break down a resilient backline marshalled by Terry, Mourinho added: "They are a fantastic team, Pochettino is building a great team.
"They gave us a difficult match and I feel sorry for them. Tottenham were a team that deserved to come here and leave with their heads high."
