Dan Batty’s dipping strike from 30 yards was the difference in this one, in a game marred by a red card shown to Josh Gordon early in the second half.
Barrow started the game the more lively, as both Jordan Stevens and Tom White got shots goalward, but neither proved too much trouble for Fleetwood goalkeeper Jay Lynch.
Neither goalkeeper had much to do all evening, but Lynch was troubled by Billy Waters on numerous occasions, with the Barrow No.9 forcing the former AFC Fylde shot-stopper to scramble and scuff the ball away on a number of occasions.
Bluebirds midfielder Sam Foley was forced off with an impact injury in the 10th minute following a strong challenge, a trialist came on in his place.
Chris Conn-Clark had an effort on goal when he broke into the Barrow box in the 32nd minute, but his attempt to lob Paul Farman ended up on the Steelworks terrace behind the goal.
Perhaps the biggest event of the game was when referee Seb Stockbridge reached into his pocket to show a red card to Josh Gordon in the 52nd minute and send the forward for an early shower.
The rest of the half was very non-eventful, but ten-men Barrow stood strong and limited Fleetwood’s attack to very few chances.
The visitors finally broke the deadlock after 83 minutes when Dan Batty let fly from 30 yards with a dipping shot that Paul Farman could do nothing about.
Full Time: Barrow 0 Fleetwood Town 1
Barrow: Farman, Canavan, Waters, Gordon, White, Neal, Foley, Grayson, Warren, Ray, Stevens.
Fleetwood Town: Lynch, Johnston, Nsiala, Earl, Andrew, Vela, Boyle, Baggley, Hayes, J.Garner, Conn-Clarke.