The visitors began confidently and created their first chance just seven minutes into the match, as a Lucas Vazquez cross found Gareth Bale's head and the Welsh worldwide delivered a shot on target - though it was also straight into the hands of Espanyol keeper Diego Lopez.
Bale was making his 117th appearance in La Liga, a record for a British player.
But Martinez was helpless on the stroke of half-time - Ronaldo collecting Benzema's intricate pass and slamming home left-footed after skilfully evading a couple of challenges. Real, though, never looked in any danger of failing to get the required result against Getafe.
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Getafe found a way back into the game, however, after Nacho conceded a penalty for a foul on Jorge Molina.
Ronaldo thought he had instantly restored Real's two-goal lead as he headed home substitute Marcelo's cross, but the goal was ruled out for a push.
Getafe's lone goal was a 65th-minute penalty kick converted by Francisco Portillo.
Real Madrid continued to press, though, and Ronaldo grabbed his second with 12 minutes remaining. Martinez then denied Ronaldo from point-blank range to add to the latter's frustrations.
In a boost for Zidane Marcelo, who has been one of Real's better performers in 2018, returned to the pitch on Thursday after recovering from his recent injury and the Brazilian could be in line for a return to the squad for the match in the Bernabéu.
"But, we can also hurt them".