The Magpies earned three points as defender Jamaal Lascelles’ net in a bullet header in the second-half to separate the teams.
The North-East club followed up their 3-0 demolition of West Ham United with another positive result against Swansea and currently sit 10th in the league table.
Rafael Benitez’s side were considered to have a little chance going into their clash at Swansea, but managed to put in a brilliant defensive performance to keep out their opponents.
The Magpies now turn attention to a home clash against Stoke in their next Premier League match and will be aiming to make it three wins on a roll.
Football Weeks considers three talking points from their win over Swansea, and why Ayoze Perez should be dropped from Newcastle’s starting XI after a disappointing performance at the weekend