First half goals from Conor Davis and James Thomson set Boro’ on their way to their first away win of the season.
A penalty save from Borough goalkeeper Tom Price also proved crucial on a landmark night for his side.
Boro had a major let-off after 16 minutes after a foul on Josh Brace saw them concede a penalty. But goalkeeper Tom Price pulled off a terrific save to keep out veteran Jamie Cureton’s spot-kick.
That visibly seemed to lift the visitors and Reading loanee Conor Davis gave them a 31st minute lead when he got clear of the defence and fired home.
James Thomson extended Boro’s lead right on the stroke of half-time with a back-header at the near post.
Despite having conceded 62 goals in their nineteen previous matches, Gosport`s defence stood firm in the face of increasing Farnborough pressure in the second period.
And it wasn`t until the 5th minute of stoppage time at the end of the game that the hosts netted a consolation goal through Matt Roberts.
By Steve Whitney