Bishop Charles H. Ellis III led Franklin's funeral and awkwardly greeted Grande on stage after she performed "(You Make Me Feel Like) A Natural Woman." Images of the moment showed Ellis' hand holding Grande well above her waist, with his fingers pressing against one side of her chest.
The preacher apologized in an interview with The Associated Press at the cemetery where Franklin was interred late Friday.
"It would never be my intention to touch any woman's breast... I don't know, I guess I put my arm around her," Ellis said. "Maybe I crossed the border, maybe I was too friendly or familiar but again, I apologize."
He said he hugged all the performers during Friday's eight-hour service.
"I hug all the female artists and the male artists," Ellis said. "Everybody that was up, I shook their hands and hugged them. That's what we are all about in the church. We are all about love."
He added: "The last thing I want to do is to be a distraction to this day. This is all about Aretha Franklin."
Many people posted close-up images of the moment on Twitter, tagging it #RespectAriana.
Ellis also apologized to Grande, her fans and the Hispanic community for making a joke about seeing her name on the program and thinking it was a new item on the Taco Bell menu.
“Maybe I crossed the border, maybe I was too friendly or familiar but again, I apologize.” The bishop at Aretha Franklin's memorial issued an apology after his on-stage interaction with Ariana Grande sparked backlash. https://t.co/JQlquLjale— Twitter Moments (@TwitterMoments) September 1, 2018
"I personally and sincerely apologize to Ariana and to her fans and to the whole Hispanic community," Ellis said. "When you're doing a program for nine hours you try to keep it lively, you try to insert some jokes here and there."
Ellis' touching of Grande overshadowed some criticism earlier in the ceremony of the short dress Grande wore for her performance. Numerous people posted criticisms online that the dress was too short for church.
Grande's representative did not return an email message seeking comment Friday.