Others tried to intervene, but they struggled for a minute until they were forcibly separated.
As a result of the punches, the girl suffered soreness to her face.
Ashford's counsel Jamie Waugh said Ashford had a few assault charges in the past but hadn't been in court since 2005.
He had been like a father to the girl and the argument had got out of hand.
He had pleaded guilty to the charge and was not allowed to see his partner while on bail.
Judge Cameron said Ashford's criminal history showed he had four previous assault convictions, but looking at the penalties imposed, they were minor.
He appeared to have some support from his partner and was assessed as having a harmful pattern of alcohol consumption.
He was at low risk of reoffending and hadn't had the benefit of rehabilitative programmes despite his history.
As part of his sentence, Ashford was ordered to attend domestic violence, substance abuse and tikanga maori programme assessments and attend and complete any programmes as instructed.