First-half strikes from Luke Guttridge and Alex Rodman helped Aldershot to victory over Maidenhead United.
Rodman was allowed too much space at the edge of the Magpies penalty area, and fired a low shot past goalkeeper Sam Beasant.
The Blue Square Bet South club almost levelled through Will Hendry, before Guttridge doubled Aldershot's lead by heading home Darren Jones' cross.
The Shots nearly made it three, Danny Hylton dinking Guttridge's pass wide.
Aldershot are away to League One giants Sheffield Wednesday in the second round on 3 December.
VIEWS FROM THE DRESSING ROOM
Aldershot manager Dean Holdsworth told BBC Surrey:
"We scored two good goals. On another night I think we could have scored three or four. The key word was patience tonight. They put 11 behind the ball as we knew. But it's a patient and professional performance.
"We started on the front foot, which was good. I played three in midfield as I thought we would have a lot of the ball. I'm delighted we did that. We're through, and that's all that matters.
"I was delighted by (centre-half) Aaron Morris tonight. He really was outstanding and we got a clean sheet. We were on a hiding to nothing tonight because you've got to turn up and do the professional thing, and we've done that. Now we can take the fans to Hillsborough."
Maidenhead manager Johnson Hippolyte told BBC Radio Berkshire:
"It was a brave effort and I'm proud of the boys, it's just a shame we conceded two poor goals. But we didn't cave in, we stuck out our chests and we had a good go in the second half and had a few half chances.
"We gave them a bit too much respect in the first half and didn't press them and conceded a poor goal. I ragged them at half-time and told them to believe in themselves and we did better in the second 45 minutes.
"Before the FA Cup first round draw was made we were about sixth in the table and now we are fifth from bottom and we need to improve our league form now. It is a distraction, but I wouldn't have it any other way. I love the FA Cup."