Newport progressed after coming back from behind once again.
Amesbury had much the better of the first half but could only find the net once through Robbie Owen.
HT Newport 0 Amesbury Town 1
Andy Sampson brought on substitute George Holmes just before half time and early in the second half he levelled the scores. Andy then brought on 16 year old Louie Fleming and inside 3 minutes the youngster showed scorching pace to charge down a clearance from a backpass and walk the ball into the net.
Jared Wetherick sealed the win shortly after after working his way through a crowded box and placing the ball past the keeper.
An Amesbury defender was given his marching orders after hitting out at Fleming after the youngster had fouled him.
FT Newport 3 Amesbury Town 1
Full match report to follow.