Bale collected a through ball from Isco and darted into the box, taking one touch before lashing it in off the far post for the perfect return after almost three months out with injury.
The Welshman rushed towards the corner flag to celebrate with the Santiago Bernabeu faithful before being congratulated by team mates Toni Kroos and Lucas Vazquez.
Alvaro Morata had given Real the lead in the 33rd minute and Bale's 83rd-minute strike kept them in pole position in their pursuit of a first league title since 2012.
Bale has won seven trophies since his world-record move to Real from Tottenham Hotspur in 2013 but the title has so far evaded his grasp.
"It felt really good to be back after working so hard to recover, especially to come back like this, helping the team with a goal," Bale told Real Madrid's official television channel.
"The fans were incredible, they applauded me and I felt their appreciation. It was great to be able to help the team out."
Bale had to endure his longest spell on the sidelines since joining Real when he damaged ankle ligaments against Sporting Lisbon on Nov. 22, interrupting an impressive start to the season with Real which had yielded seven goals in 16 games.
He missed out on their victory at the FIFA Club World Cup and when they set a Spanish record 40-game unbeaten run in all competitions.
"It's been tough to watch from the sidelines but at least the team kept winning. We want to win every trophy and now I'll be able to contribute to hopefully doing that," he added.
"I'm going to need a few weeks to be 100 percent but we'll take each game as it comes and I hope to be at 100 percent very soon."
His coach, Zinedine Zidane, added: "I'm delighted that Gareth is back and especially for him. He was so keen to return and feel like a player again after almost three months away from the pitch."
"I told him to enjoy the game. He is a special player, different to everyone else."
(Reporting by Richard Martin,; Editing by Neville Dalton)
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