With title rivals Atletico Madrid and Barcelona both winning earlier on Saturday, Carlo Ancelotti's men came into the game under pressure to respond, and they did just that by grinding out an important victory.
In a largely disjointed first half, they were grateful to ex-Sociedad man Asier Illarramendi - in the side in place of the rested Cristiano Ronaldo - who tapped home from close range at the end of the first period after Sociedad goalkeeper Claudio Bravo had saved an initial effort from Karim Benzema.
The midfielder chose not to celebrate the goal against his former employers, although it came as a much-needed boost for Ancelotti's side heading into the break.
Madrid were much improved in the second period and midway through the half Gareth Bale took advantage of Bravo's poor kick to smash a low finish into the bottom left-hand corner from 30 yards.
The visitors survived a scare in the 16th minute when Diego Lopez brilliantly denied Carlos Vela's close-range effort, although the strike would not have counted anyway as the as the assistant referee had - incorrectly - ruled the Mexican to be in an offside position.
Illarramendi gave Madrid a lead they scarcely deserved on the stroke of half-time, reacting quickest to tap in the rebound after Bravo had parried Benzema's fiercely-struck shot.
The advantage was almost doubled within four minutes of the restart, Sergio Ramos thumping a header against the crossbar after meeting Xabi Alonso's free-kick from the right.
A minute later, Bale put the result beyond doubt, firing home after Bravo's mis-cued kick out of his hands fell perfectly at the Welshman's feet before Madrid killed the game and added gloss to the scoreline late on.
Five minutes from time, Pepe turned home Ramos' headed knockdown from a corner before Morata added the fourth with two minutes left, as Madrid extended their unbeaten run against their opponents to 14 matches.
