The British musician rose to fame as part of the Yardbirds, where he replaced Eric Clapton, before forming the Jeff Beck group with Rod Stewart.
His tone, presence and, above all, volume redefined guitar music in the 1960s, and influenced movements like heavy metal, jazz-rock and even punk.
Beck's death was confirmed on his official Twitter page.
"On behalf of his family, it is with deep and profound sadness that we share the news of Jeff Beck's passing," the statement said.
"After suddenly contracting bacterial meningitis, he peacefully passed away yesterday. His family ask for privacy while they process this tremendous loss."