Meg and Jack White were performing at the Olympic Beach Volleyball Stadium Thursday night when high winds sent the lights swaying and nearly collapsed the stage, NME.com reported.
The crew member was injured when hit by scaffolding blown loose, but further details were not immediately available.
After two unsuccessful attempts to secure the stage, the band decided to end the concert.
"It was incredibly windy, and definitely would have been dangerous if the show had continued," a White Stripes spokesman in Greece told NME. "The band did the right thing."