The 18-year-old, born and raised locally, opened fire near a busy shopping mall on July 22 evening, triggering a lockdown in the Bavarian state capital.
Seven of his victims were themselves teenagers, who police said he may have lured to their deaths via a hacked Facebook account on what was the fifth anniversary of twin attacks by Norwegian mass murderer Anders Breivik that killed 77 people.
The Munich shooting, in which a further 27 people were wounded, some seriously, was the third act of violence against civilians in Western Europe - and the second in southern Germany - in eight days.
Bavarian state crime office president Robert Heimberger said the gunman, who German media named as Ali David Sonboly, was carrying more than 300 bullets in his backpack and pistol when he was later found dead of a gunshot wound.
Following a police search of the attacker's room, where a book on teenage shooting sprees was discovered, Munich police chief Hubertus Andrae all but ruled out an Islamist militant link in the attack.
"Based on the searches, there are no indications whatsoever that there is a connection to Islamic State" or to the issue of refugees, he told a news conference.
"Documents on shooting sprees were found, so the perpetrator obviously researched this subject intensively."
The gunman was born and brought up in the Munich area and had spent time in psychiatric care, and there was no evidence to suggest he had an accomplice, Andrae said.
Interior Minister Thomas de Maiziere said it was also too early to associate the Munich shootings with Breivik, who in 2011 shot dead 69 attendees at a youth summer camp hours after murdering eight others by detonating a van bomb in Oslo.