At this stage, any possible motive for the attack is unclear, police added. Police said the man was known by authorities for other offenses.
Eight people were wounded in a series of knife attacks in Munich on Saturday morning, but none of them sustained life-threatening injuries, police said.
The victims largely suffered from superficial stab wounds and in at least one case had been hit.
"We have arrested a person who very strongly resembles the description by witnesses, but we can not confirm that he is the attacker", Martins said. They said he was heavy, unshaven with short blond hair and had a black bicycle and a backpack.
Maine Unemployment Still Low, Down Slightly in September
Numbers unadjusted for seasons, SC added more than 1,200 jobs in manufacturing and 400-plus jobs in construction in September. Annual gains since 2016 were up across the board, including 7,300 jobs added in trade, transportation and utilities.
"There are absolutely no indications at present of a terrorist, political or religious background, though we can only rule things out when all the questioning is finished", Chief Andrae said.
Police believe the perpetrator, who appeared to randomly target people at several different locations, acted alone.
A SWAT team arrested a 33-year-old German suspect after a three hour manhunt.
They urged people at the Rosenheimer Platz area, located close to the German city's downtown, to remain at home as they had received conflicting information about which way the attacker had gone.