Curry finished with 37 points, 13 rebounds and 11 assists, while Green chipped in with 18 points, 14 rebounds and 11 assists as the Warriors eased past Portland.
Their triple-doubles (double-digit total in three of the following categories: points, total rebounds, assists, steals, and blocks) were the first posted by team-mates in an NBA play-off game as the Warriors again fought back from a half-time deficit, as they did in games two and three.
Portland led 69-65 at half-time and 95-78 late in the third quarter. The Warriors’ victory means it is the first time a team has erased 15-point deficits in three consecutive play-off wins.
Meyers Leonard scored a career-high 30 points for Portland, although Curry’s lay-up drew the Warriors level at 104-104 with four minutes 34 seconds remaining.
The game was tied at 111-111 at the end of regulation time, before Curry spotted Green open for a three-pointer to give the Warriors a 119-115 lead with just 39.6 seconds remaining in overtime.
Damian Lillard, who had 28 points, got Portland within two with 32.8 seconds left but then had a shot blocked before misfiring a desperate three-point attempt at the death.