She also got silver, behind Mu at the Tokyo Olympics and behind Moraa in last year's Commonwealth Games.
"After bronze last year I wanted to improve and I have," Moraa said.
Mu said: "I came here to Budapest with no big expectations and now I am really grateful for this wonderful bronze medal.
"I wanted to slow the pace a little bit since I knew it would be a killer finish.
Once I was overtaken from that point I just wanted to finish on the podium."
Persons:
Mary Moraa, Keely Hodgkinson, Athing Mu, Mu, Moraa, Hodgkinson, Mitch Phillips, Toby Davis
Organizations:
Tokyo Olympics, Commonwealth, Thomson
Locations:
BUDAPEST, Kenya, Eugene, Budapest