The 51 points allowed by the Giants represented the most they have given up in a home game since September 19, 1999, when Washington scored 50.
The Los Angeles Rams have the second-best scoring offense in the NFL.
Though the day began with promise - Orleans Darkwa ran for 24 yards on the first play from scrimmage - the Rams' star defensive tackle, Aaron Donald, soon registered a strip-sack of Eli Manning at the Rams 48-yard line.
Higbee's touchdown made him the ninth consecutive tight end to score against the Giants defense, setting a new National Football League record for futility.More news: United States soldier branded 'traitor' by Trump spared prison time for Afghanistan desertion
The loss dropped the Giants to 1-7, and it certainly has to put coach Ben McAdoo's future in question just one year after he led the team to the playoffs. Manning found receiver Tavarres King on the 5-yard score, but it was all downhill from there.
Rams' place kicker Greg Zuerlein continued his excellent season going a flawless 9-for-9 on kick attempts, including three field goals and six extra points. The Giants were driving again, and were particularly effective on the ground, and reached midfield when Rams linebacker Alec Ogletree burst into the NY backfield and stripped the ball from running back Wayne Gallman Jr.
After middle linebacker Alec Ogletree's forced fumble became the second takeaway of the first half, wide receiver Robert Woods improbably scored his first touchdown of the season.
Zuerlein would later record a 46-yard field goal to close out the half, and a 47-yarder for the Rams' final points of the afternoon.
The Rams didn't do much on the ground but they didn't need to, as Todd Gurley finished with 59 yards and two touchdowns on 16 carries, and also caught two passes for 45 yards.