Mourinho was pleased his Lilywhites had everything under control in the North London derby.
Spurs came from behind to secure a 2-1 win against the Gunners on Sunday.
Jose Mourinho says Tottenham's 2-1 victory against Arsenal on Sunday 'was more tactical than anything'.
Mourinho's Lilywhites came from behind to seal three points against the Gunners at the Tottenham Stadium as Heung-min Son capitalised on Sead Kolasinac's mistake to cancel out Alexandre Lacazette's superb opener before Alderweireld wrapped up the win with a late header.
After the entertaining tie at the new Tottenham Stadium, Spurs manager Mourinho expressed his delight at winning his first north London derby and also said Arteta is taking Arsenal in the right direction.
The happy Portuguese told Sky Sports: "I think the game was more tactical than anything.
"To be honest I think Mikel (Arteta) found a way for them to play, to be stable and to improve - they are improving and we felt that we should adapt slightly to them and I think we did it very well.
"Because how many times (Kieran) Tierney and (Hector) Bellerin normally reach the last third and how well they were controlled today. I think they were very controlled at that level."
Mourinho added: "Even in the first period of the second half when they had more of the ball and they were more in our half, we were quite comfortable in that situation.
"I think also the two midfielders, they did a great job and then we found our chances and great spirit, (that) really helped.
"I think during the game nobody thought about it, even myself I didn't, but Arsenal had 48 hours more than us to rest, so it was hard but come from their hearts this effort, this battle.
"Even in the last minutes of the game after 2-1, zero problems, everything under control so we are happy.
"We are happy because we made the fans happy, we are happy because we are still in the fight to win a Europa League position."
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