Professor John McNeill, Police Investigations and Review Commissioner (PIRC), praised officers' actions in a new report.
The report was prompted an incident on May 25 this year, when a man doused himself with petrol, following a domestic disturbance in Barmulloch, Glasgow.
As officers searched for the man, he made several telephone calls to his family telling them he intended to kill himself by setting himself on fire at the family home.
When police arrived at the address, the man ignited the petrol, engulfing himself in flames.
He died two days later in hospital from his injuries.
The Crown Office had instructed the PIRC to carry out the investigation because the man had been in contact with the police.
Professor McNeill, said: "I am satisfied that the police officers acted in a professional and appropriate manner.
"Despite danger to themselves they provided immediate first aid whilst controlling and managing the scene effectively, which allowed unrestricted access to other emergency services."
During the investigation PIRC staff interviewed the man's family and friends, carried out house-to-house enquiries, obtained statements from the police officers involved , and viewed all available CCTV footage.
Following the report, the Crown Office decided that no further proceedings would be taken and that there would not be a Fatal Accident Inquiry.
A Police Scotland spokeswoman, said: "Officers showed bravery and disregard for their own safety in an attempt to save a man's life."