Several of the miners carried an image of the Virgin to the Candelaria cathedral in Copiapo, a city in Chile's northern desert that is 31 miles from the mine.
Four of the miners traveled to Washington for the opening of a special exhibit about their rescue at the Smithsonian Museum.
The mine has been closed since the miners were pulled out alive 69 days after their ordeal began.
Thirty-one of the 33 are suing the agency that oversees mining in Chile, claiming it failed to ensure safety measures in the mine.
Although the miners were treated like celebrities after their rescue, half of them are unemployed. Four have gone back to mining underground.
A book and a movie about their ordeal are in the works.
The Associated Press contributed to this report.