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Park rangers say they received multiple 911 calls reporting the incident on Saturday around 8:15 a.m.
Yosemite Park Rangers and Search and Rescue staff responded to El Capitan.
The climbers were identified as 46-year-old Jason Wells of Boulder, Colorado, and 42-year-old Tim Klein of Palmdale, California.
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Officials say the investigation is ongoing and no further information will be released on Saturday.
This fall comes after another death inside the park on May 21, when a hiker fell from the Half Dome cables while hiking with another person during a thunderstorm.
Full coverage on Yosemite National park here.