The singer was leaving church last week when his car knocked over the man who was taken to hospital with non-life threatening injuries.
The Beverly Hills Police Department said there were no violations by either Bieber or the photographer.
This comes just days after Bieber cancelled his world tour. He told fans he needed time out to "be sustainable".
The 23-year-old has been touring in support of his album Purpose for the past 18 months and had played more than 150 shows but then cancelled the last 14 scheduled performances.
