The incident occurred the day after the Masters finished, when Olazabal was clocked speeding and fined $621.
He agreed to follow a deputy to the Effingham County Sheriff's Office and pay the ticket in cash, according to the sheriff's spokesman David Ehsanipoor.
Ehsanipoor said that Olazabal, who exceeded the posted 65 mph speed limit on the four-lane Georgia highway where he was stopped, "apologized, he was cooperative and after the paperwork was done he went on his way."
USA Today reported Olazabal was clocked at 97 mph.
The two-time Masters champion wasn't jailed, but his mug shot was taken. Ehsanipoor said the sheriff's department photographs everyone who is brought in on a criminal charge or citation.
Olazabal, inducted into the World Golf Hall of Fame in 2009, has won 29 times around the world and played on seven Ryder Cup teams. He won the Masters in 1994 and 1999.