Munich police chief Hubertus Andrae said "no evidence" of links Isis has been found in the home of the suspect.
Mr Andrae told a news conference the attack appears to be a "classic shooting rampage" and was not an act of terrorism.
He also said the crime and perpetrator had "absolutely no" link to the issue of refugees.
Police say the shooter, born and raised in Munich, had been in psychiatric care and was treated for depression.
Police investigator Robert Hemberger said the shooter was armed with 9mm Glock pistol and had 300 rounds.
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