Yeovil booked their place in the FA Cup second round draw as an early goal from on-loan Manchester City striker Jordy Hiwula saw off Crawley at Huish Park.
They went close inside two minutes when Sam Foley cut in from the left to curl a right-footed shot onto the post.
But, just five minutes later, Hiwula shrugged off a hesitant Joe Walsh to roll home his first senior goal.
Izale McLeod’s second-half header over the bar was as close as Crawley came to levelling the all-League One clash.
He beat keeper Jed Steer to the ball only to see his effort sail just too high on the hour mark as Yeovil, currently 23rd in the league and eight places below Crawley, held on.