The suspect was being questioned by police, he said, adding that it was "too early" to determine the motive for the attack.
The lone attacker apparently went after passers-by indiscriminately with a knife, police said.
A man wounded five people with a knife in the southern German city of Munich on Saturday and was being hunted by police, police and the fire department said.
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"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.
Shortly after Saturday noon, the police said on Twitter that they had caught the suspect.
Munich police identified the suspect, who was arrested after the incident, as a 33-year-old German citizen who was known to authorities because of past criminal acts.
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Mr Andrae told reporters there is no indication that an extremist, political or religious background factored into the attack.
"Rather than that, we believe that the perpetrator had psychological problems".
Four people received minor injuries in the attack. Police had asked residents to stay home until they find the attacker who had fled on a bicycle.
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