Danny Wright scored the opening goal before being sent off as Wrexham kept up the pressure on leaders Fleetwood with victory over Barrow.
Wright's looping header from a difficult angle gave the home side the lead on 34 minutes.
Seven minutes into the second half Jake Speight scored with a fierce low drive from close range to double the lead.
Wright was sent off following an off-the-ball incident and Barrow's Richie Baker saw red for a second booking.
VIEWS FROM THE DRESSING ROOM
Wrexham player-manager Andy Morrell told BBC Radio Wales:
"I think the crowd and the people expect you to win now. That's the difference from ten games in. They expect us to win and beat a team like that and play attractive football.
"They [Barrow] wasted time in the first half, slowing the game down and it's really difficult to get the high tempo game we're good at.
"We had chances to put it away again and haven't taken them. We scored at the right times today. It was fairly comfortable but it could have been easier."
Barrow manager Dave Bayliss told BBC Radio Cumbria:
"I'm disappointed because we can play better than that.
"We can fight a lot harder than that. They're a good side, but I'm really disappointed.
"We wanted to come here in front of a big crowd, a nice stadium and give ourselves a chance.
"You can't switch off in the game and you have to be alert."