The 74-year-old celebrity lived in New Mexico for 40 years.
Jack Nicholson and Val Kilmer were among the actors who joined dozens of Hopper's relatives at the service.
"It was a very singular relationship I had with him, like nobody else. We were soul mates in a way. I really miss him," Nicholson said.
The actor died on Saturday from prostate cancer, at his home near Los Angeles. He was 74.
The Associated Press contributed to this report.
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