Members of the Pakuranga team formed a guard of honour as the Ponsonby players left the field, which was then reciprocated. The match was not completed.
World Masters Games chief executive Jennah Wootten said "our best wishes are with him and his family for a full recovery".
"We have medical services in place at all World Masters Games 2017 competition venues to respond to situations such as this.
"We are pleased that St John was on hand and able to transfer the man to hospital without delay."
Ponsonby director of rugby Nathan Kemp told the Herald he was not in a position to comment.
The Pakuranga United Rugby Club has been contacted for comment.