Lee Trundle, Leon Britton and Izzy Iriekpen scored first-half goals to give Swansea victory in the all-Welsh FA Cup first round tie in Newport.
Britton and Trundle ensured there was no upset at Spytty Park
But the match was marred by a head injury to fourth official Alan Sheffield, who was struck by a coin thrown from the stands at Spytty Park.
It came after Newport manager Peter Beadle was sent off for arguing over a free-kick which led to Britton's goal.
Newport improved after the break and Ian Hillier grabbed a consolation goal.
606 DEBATE: Give your thoughts on the match
Newport County: Ovendale, Hillier, Cochlin, Brough, Brewer (Evans 84), Davies, Bowen, Collier (Garner 55), O'Sullivan (Green 65), Alsop, Hughes.
Subs Not Used: Giles, Edwards.
Booked: Davies, Alsop, Hughes.
Goals: Hillier 48.
Swansea: Gueret, Amankwaah, Tate, Lawrence, Austin, Iriekpen, Britton (O'Leary 88), MacDonald, Robinson, Fallon (Akinfenwa 83), Trundle (Butler 74).
Subs Not Used: Oakes, Jones.
Booked: Tate, Robinson.
Goals: Trundle 7, Iriekpen 31, Britton 45.
Ref: A Bates (Staffordshire).