Azulones scored the deciding goal in the 34th minute.
Adrian Colunga was on the pitch for 83 minutes against Celta de Vigo. He scored in the 10th minute, assisted Federico Fernandez's goal in the 42nd minute and took eight shots on goal.
Celta's Augusto Fernandez found the back of the net with a header strike that came in the 20th minute.
Getafe are in 11 place, and in striking distance of Rayo Vallecano in sixth with a record of nine wins, 10 losses and five draws leaving them five behind after 24 games.
After 24 games Celta de Vigo are currently in the relegation zone, two points behind 16th-place Real Zaragoza with a record of five wins, 14 losses and five draws.
Getafe had 42.1% of possession. Geta had nine shots, all of which were on goal.
The combination of Diego Castro to Abdel Barrada was the most common during the match, as the two players connected 24 times.
Celta de Vigo controlled possession for 57.9% of the match thanks to strong open field play.
Celta de Vigo got off four shots, including two on goal, during the match, a direct result of their 53 duels and 14 headers won.
The two attempts by Alex Lopez were the most of any Celta de Vigo player.
Jonny's 13 passes to Fernandez were the most between any Celta de Vigo team-mates during the match.