Town return to The CNG Stadium for the second time this season, having played out a 2-2 draw on the opening day against Sutton United.
Town's last two games have been on the road, with another 2-2 draw at Hartlepool United followed by a 1-1 tie against Bromley AFC.
Town will be looking to pick up there first league win in the National League against a Barnet side who, like Town, saw their first two games of the season end in draws.
Tuesday's opponents opened there Vanarama National League campaign against Braintree Town at home and then travelled to Aldershot, while in their third game faced Eastleigh at home, but came out of the game still looking for there first league win of the season after a 2-1 defeat.
Simon Weaver will be pleased that new signings Callum Howe, Kelvin Langmead and Jack Muldoon have all got their names on the scoresheet in early results that could be vital later in the season.
The gaffer will also be pleased with performances of Dom Knowles who already has two goals in this campaign and James Belshaw, who was immensely impressive in goal against Bromley, keeping Harrogate in the game on several occasions.
Formed in 1888, Barnet play their football at the Hive stadium and currently sit 17th in the early standings.
The Bees are managed by John Still who returned for his third spell in charge of the club back in May following their relegation from the Football League after a 3-year stay.
Still's first stint, which came between the June 1997 and November 2000, saw him lead The Bees to the Division Three (fourth tier) play-offs twice.
He returned to the Hive stadium in March 2001 but was unable to save Barnet from the drop into non-league and left the following February.
The Barnet boss comes with great pedigree at this level having won promotion to The Football League three times.
Despite his experience around the National League, this will be the first ever time that his Barnet side have travelled up to The CNG stadium to play Town in a competitive fixture.
In terms of players to watch, Barnet's Shaq Coulthrist, opened his account for the season against Braintree and was top scorer for the side last season in League Two with ten goals.
Elsewhere, newly appointed skipper Craig Robson made the switch across the capital with manager Still, as both departed Dagenham & Redbridge for The Hive in the summer.
By Isaac Martin