In a poignant match scarred by Monday's terror attack in Manchester, which left 22 people dead, United prevailed 2-0 via goals from Paul Pogba and Henrikh Mkhitaryan to win the tournament for the first time.
Mourinho has received criticism over the quality of United's football and sixth-place finish in the Premier League, but he finishes his maiden season with three trophies and a place in next season's Champions League.
"The poets are the ones that win every match," said the Portuguese, who had previously led United to success in the Community Shield and League Cup.
"Not by finishing second or third or fourth, and we have the honour of going to the Super Cup. So the season was the victory of pragmatism and the people who respect the opponent and try to exploit the opponents' weakness. Based on pragmatism and humble principles. Not poets."
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A two-time European champion with Porto and Inter Milan, Mourinho once declared he did not want to win the Europa League, saying success in the competition would be a "big disappointment".
He has now won the tournament twice, having led Porto to glory in the UEFA Cup -- as the Europa League was previously called -- in 2003.
- 'It means everything' -
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"To me it is the most important trophy of my career because it is the last (most recent) -- that is how I look at things," he said.
"It means everything. It means the third trophy and going back to the Champions League and winning a European trophy and playing Super League in Macedonia in August and means for the club the last piece of the puzzle.
"Now it is like Ajax and some other clubs with every trophy in the world of football, so it means everything."
Beaten coach Peter Bosz said United "only played long balls and didn't take any risks", turning Ajax's first European final in 21 years into what he called "a boring game".
"For all the players, this was the first final," he said. "You have to learn from it. All the players who played today learnt a lot. They're not used to playing a final, these young kids. It's all new for them. They will learn a lot from it and become stronger.
"If we can keep this squad together, we will be stronger next season, for sure."
"If we could, we would obviously change the people's lives for this cup, immediately," Mourinho said.
"We wouldn't think twice. Does this cup make the city of Manchester a little bit happier? Maybe. But we just came to do our job.
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