Goals from both Cristiano Ronaldo and Karim Benzema ensured Real claimed the points they needed to hold off Barcelona and claim the trophy for the first time since 2012.
And afterwards Zidane admitted it was essential that a club of Real’s stature should re-assert their domestic dominance.
In an on-pitch interview reported by Marca, Zidane said: “It was very important (to win the league). It was a lot of years without winning it and we knew that the league is everything.
“For Real Madrid, because it is the best club in the world, we have to return with this league title.”
Ronaldo produced another leading performance for his side having settled any early nerves by firing them in front after just two minutes.
Zidane added: “The credit is for all of them because they have fought and the message has been that they are all important and have been key to the success.
“(But) he (Ronaldo) is always there to make the difference and I am happy for him – it is a little different because he is always there to do it.
“It has been a difficult season that we worked hard for, with some tough moments, but after 38 games we are top and that is it.
“The Spanish league is the best in my opinion and to win it in this way is incredible – I am very happy.”
Zidane said he would let the title celebrations sink in before he switches his thoughts towards the upcoming Champions League final against Juventus in Cardiff.
He added: “Now we can celebrate – we have to go to [the city centre] because we have to think about all the people that are part of the club. Later we will prepare for the final.”