George Gruhn of Nashville sold the 1954 guitar on consignment for owner and guitar historian Richard Smith.
Gruhn said Thursday that the guitar was shipped and the purchase finalised this week.
Gruhn, who owns a Nashville guitar shop, says the buyer wanted to remain anonymous, but he said the private collector lives in the US and is not a professional musician.
He also says he encouraged the buyer to contact the Musical Instrument Museum in Phoenix about displaying it.
The sunburst-finish Strat bears the serial number 0100, Timesville informs.
