Mourinho's side maintain an eight-point buffer ahead of Atletico after demolishing the nine-man visitors in a match which saw six different scorers for the hosts
Goals from Raul Albiol, Cristiano Ronaldo, Mesut Ozil, Karim Benzema, Angel Di Maria and Luka Modric wrapped up the win for Madrid, with the visitors ending the match with nine men following dismissals for Sergio Sanchez and Martin Demichelis.
Ronaldo celebrated notching his 200th goal for the club in 197 appearances, smashing home an indirect free-kick in what proved to be a one-sided affair.
Albiol gave his side a dream start after merely three minutes, heading home a Modric corner at the back post, but initial good work was undone when Malaga replied with their own set piece conversion 12 minutes later, as Roque Santa Cruz escaped his marker at the to tap home.
On 21 minutes, Ronaldo was tugged down by Malaga's Sergio Sanchez in the visitors' box, resulting in a penalty and a red card produced for the Spaniard. Despite stepping up assuredly, Ronaldo saw his penalty effort saved brilliantly by the toe of Willy.
The mood inside Bernabeu was to change only minutes later, as Ronaldo made no mistake from an indirect free-kick from 10 yards, blasting the ball into the top right corner - despite debatable positioning from both the Malaga wall and goalkeeper.
Just after the half hour mark, it was three for Los Blancos, as Malaga fell victim to the trademark Real Madrid counterattack. Ozil was threaded through on goal by Gonzalo Higuain, before chopping nicely inside Antunes and sliding the ball past Willy.
Malaga were not be be counted out of the game before the half time whistle, however, as Antunes found the net from an advanced position. After being laid off by Javier Portillo, the left-back cut inside before unleashing a right footed drive into the top corner, leaving Diego Lopez with no chance.
A forced change of goalkeeper proved to make no difference to the first-half onslaught of Mourinho's men, as Ronaldo toyed with substitute Carlos Kameni, before squaring the ball for Benzema to tap home unmarked in first half stoppage time.
The second half started in a different vein to the first, as Madrid began to press and exert their dominance as a result to their extra man, but goals and clear cut opportunities were not forthcoming.
Despite a 20 minute lull, the away side couldn't stay resilient, and it was five on 64 minutes. The tireless Modric picked up a goal for all of his good work, finding the inside of the post with a long-range strike.
Things went from bad to worse for the visitors in the 73rd minute, as Demichelis was shown a second yellow for bringing down Ronaldo, halting the Portuguese international's mazy run.
Di Maria ended the rout in style in second half stoppage time, firing a low drive into the bottom corner, despite Kameni's best efforts to get down to his right.
Mourinho reaches the 80 point mark in style, and his Real Madrid side move eight points ahead of rivals Atletico with only three league games left to play.