For the first time, the host nation fielded two teams in the tournament, and Kyrgios and Gavrilova went through the week unbeaten as Australia Green, culminating in their 2-0 win over
Ukraine to give Australia their second Hopman Cup title.
Both players won their singles matches in the final in straight sets, with the mixed doubles not being played.
For both Australians, who have known each other for several years, it was a milestone tournament win.
Kyrgios collected his first senior ITF tournament title just four months after he was dumped from the Davis Cup team for the semi-final against Great Britain.
Gavrilova was representing her adopted country for the first time, having been naturalised last month.