A German man was arrested on Friday after an 82-year-old woman and a cyclist were shot dead near the town of Ansbach, police said.
Police reported that the assailant was driving a Mercedes convertible and had a firearm, The Local news portal reported.
He shot two people dead at a distance of several kilometres from one another.
An elderly woman was the first victim. She died immediately after the attack.
The assailant then shot a male bicycle rider who also died at the scene of the crime.
After each attack, the man made an immediate getaway in his car, a police spokesperson said.
The man also appears to have shot two more people. But police did not confirm their current condition.