The first half was a reasonably close encounter but Georgia made more of their scoring opportunities and opened up a 20-0 lead by the break.
Prop Karlen Asieshvili bundled his way over for two close range scores either side of a slightly fortuitous one for wing George Shkinin. Full back Irakli Kiasashvili showed reliable goal kicking form adding a conversion and a penalty.
Kiasashvili's second penalty early in the second half made it 23-0 and things were looking grim for the Army as the Georgians seemed to be strolling away.
But the Army didn't allow their heads to drop and finally got on the scoreboard on the hour mark when Ben Seru broke from his own 22 and centre Naca Nacavamatu was on hand to support his team mate and take the offload to score.
When fly half Jack Prasad wriggled his way over for a second a few minutes later, an unlikely comeback was hinted at but Georgian prop Jaba Bregvadze forced his way over from close range to kill off any such hopes.
The Army did have the final word, however, as Georgia failed to gather the restart and the ball bounced up perfectly for Denny Delietamani to gather and run clear to score.
30-17 the final score.