Thompson saved Matthew Barnes-Homer's 74th-minute penalty
Newport County earned their first point in the Blue Square Bet Premier, inspired by keeper Glyn Thompson's heroics at Luton.
County's Charlie Henry opened the scoring with a low shot against the run of play in the 26th minute.
Zdenek Kroca levelled from a corner five minutes later.
Matthew Barnes-Homer saw a penalty saved by Thompson after Danny Crow was tripped and Town midfielder Keith Keane was sent off late on for a bad tackle.
Luton:
Tyler, Gleeson, George Pilkington, Kroca, Fred Murray, Gnakpa (Howells 56), Keane, Besta, Drury, Barnes-Homer (Craddock 79), Gallen (Crow 64). Subs Not Used: Newton, Kevin Pilkington.
Sent Off: Keane (90).
Booked: Keane, Craddock.
Goals: Kroca 31.
Newport County:
Thompson, Bignot, Warren, Todd, Collins, Henry (Knights 78), Rose, Odhiambo, Reid (Rogers 90), Matthews, Morgan (Foley 69). Subs Not Used: Thorne, Garner.
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