Woodward told Britain's Press Association: "I thought the defensive performance was awesome. It was one of the best performances ever put in.
"We were very confident going into the game. It didn't go as well as we wanted on the attacking front but defensively we were just magnificent. It was heroic."
England now extend their lead at the top of the Zurich World Rankings having beaten the second-placed New Zealanders last November at Twickenham also.
"To play well against these guys, back-to-back wins over New Zealand, that's brilliant," said Woodward.
"In the second half we kept hold of the ball. Attack wise we did some dumb things, but the defence was fantastic. We got the win, a fantastic win."