Policano told them her face was scratched because he punched her "once in the helmet while she was wearing it".
Defence lawyer James Elliot said Policano had obtained a non-violence order against the victim, from a magistrate in Victoria, Australia -- for which he had needed to prove she had been violent towards him.
He described the situation as a "fairly toxic, ongoing relationship" and said Policano "had been attempting to distance himself from the relationship" before these events, and had now done so.
Mr Elliot said Policano was now staying with a couple in Masterton, "people who are well regarded in the community" -- who were supporting him.
Policano is due to fly out of New Zealand in May on the next leg of a cycling world trip, Mr Elliot said. "He understands he will be convicted and he understands he will need to declare that as he goes through various places including in Asia, and on his return to the US."
Judge Tony Walsh told Policano: "I appreciate there is another side to the story ... but the court must get across to the community that violence is unacceptable." The judge convicted Policano and ordered him to pay on each charge a $200 fine, $130 court costs and $250 in emotional harm reparation.