The club said its "Getafinder" works like the popular app Tinder in helping users meet potential mates nearby, but it will only work near the side's Alfonso Perez stadium in the Madrid suburbs.
"Getafe is historically one of the football clubs with the fewest fans and the most empty stands in the first division," the club said in a statement.
"With this app you can seek out the Getafe fan you like best in complete anonymity. And if someone you like likes you too, make a match and procreate!"
Positioning software on the app makes it operative just near the stadium "so that it will only be used by supporters of the club".
Getafe sit 14th in the Spanish top division currently, in the shadow of their big neighbours Atletico and Real Madrid.
Getafe's stadium has 17,000 seats but average matchday attendance is just 9,000.
The club said the app is part of a campaign aiming to boost the number of registered supporters to more than 10,000.