Although Georgia Tech coach George O'Leary pulled his starters late in the second quarter, Navy couldn't keep the Yellow Jackets' reserves from scoring. The 63-point margin of defeat was the largest for Navy in the 121-year history of the program, surpassing a 70-14 loss at Michigan in 1976.
Navy (0-2) has been outscored 115-33 this year.
Reserve running back Jimmy Dixon scored three touchdowns for the Yellow Jackets, whose 42-point half was most by a Georgia Tech team since 1916, when they used a 96-point second half to finish off a 222-0 rout of Cumberland (Tenn.).
Godsey was pulled after throwing a 66-yard TD pass to Kerry Watkins with 5:42 left in the second quarter for a 42-0 lead. The senior went 8-for-9 for 158 yards.
The Yellow Jackets, who have outscored their opponents 80-0 in the first half this season, face sixth-ranked Florida State next week.
Georgia Tech dominated from the start. After Ross Mitchell took the opening kickoff 45 yards, Godsey went 4-for-5 for 32 yards on a 55-yard drive, including an 11-yard touchdown pass to Kelly Campbell.
Navy lost a fumbled on its own 40 to conclude its opening drive, and a 27-yard pass from Godsey to tight end Russell Matvay set up an 8-yard TD run by Joe Burns for a 14-0 lead.
Dixon scored from the 2 to cap a 77-yard drive and make it 21-0 with 3:29 to go in the first quarter, and Navy's next possession ended when Tech's Cory Collins tackled receiver Marshaun Minter, forcing a fumble that Recardo Wimbush took 25 yards for a score.
A 1-yard run by Godsey made it 35-0, and minutes later, the quarterback connected with Watkins on a third-and-26 play.
Navy's fourth turnover, a fumble on the opening kickoff of the third quarter, led to a 1-yard touchdown run by Dixon. After a Navy punt, Andy Hall threw a 50-yard TD pass to Levon Thomas to make it 56-0.
Dixon scored from the 2 on the first play of the fourth quarter.