Hopper, 73, has advanced prostate cancer and was said in court documents this week to have dropped to about 100 pounds (45 kg) in weight and to be too weak to continue chemotherapy.
Hopper wore a bandage on his head and on his right hand at the ceremony. He attributed them to injuries he suffered in a fall after a paparazzi called out his name as he walked outside.
"I thought I recognized the voice, so I kept walking and turned around but I didn't see the little ridgeline in the road and I took a terrible fall because I have no muscle," the actor told reporters.
"So I fell directly on my face, and I had my glasses in my hand. I got pretty screwed up," he said.
Hopper, who began his career in the 1955 teenage rebellion film "Rebel Without a Cause" with James Dean, is embroiled in a divorce battle with his fifth wife.
Court documents in the case said he was too frail to continue with chemotherapy. But Hopper won his doctor's approval to attend the ceremony unveiling his Walk of Fame star and honoring his work in more than 150 movies.
Dennis Hopper
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