Anthony Dilweg of Green Bay, David Fulcher of Cincinnati and Sammie Smith of Miami also earned the NFL's first-week honors.
Taylor, who held out for 55 days, had seven tackles, including three sacks, and forced a fumble in New York's 27-20 win over Philadelphia, its first over the Eagles after four straight losses. It was the fourth time since 1988 that Taylor has won NFC defensive honors.
Dilweg, making his first start at quarterback for Green Bay in place of Don Majkowski, who held out until late last week, won NFC offensive honors. He completed 20 of 32 passes for 248 yards and three touchdowns in a 36-24 win over the Rams.
Smith, the AFC Offensive Player of the Week, rushed for 159 yards on 23 carries and scored twice as Miami beat New England, 27-24.
Pittsburgh Steelers cornerback Delton Hall, who started Sunday's season opener, has been placed on the injured reserve list because of a partially torn tendon in his left knee.
Meanwhile, linebacker Greg Lloyd was admitted today to a hospital with the stomach flu. It is not known how long he will be sidelined, the team said.
"They're definitely not a class organization at all" Williams said after passing a physical examination for Washington.
Williams ended a holdout with Detroit only last week and was traded to the Redskins on Tuesday for veteran running back James Wilder and a fourth-round draft choice.