Fulham’s Luciano Vietto fired wide from close range in the first minute as the hosts started brightly.
But the visitors went ahead on 14 minutes when Pogba linked up with Martial and lashed in a powerful shot from a tight angle, beating Sergio Rico at his near post.
Nine minutes later it was two, when Martial ran from inside his own half and finished beyond Rico.
Pogba’s penalty sealed the win with 25 minutes left after Maxime Le Marchand brought down Juan Mata.
Victory continues Ole Gunnar Solskjaer’s unbeaten record as interim manager and puts Man Utd in fourth, one point above Chelsea.
Fulham: Rico, Odoi, Le Marchand, Ream, Bryan (Sessegnon 80), Chambers, Seri, Schürrle (Christie 53), Vietto, Babel (Cairney 77), Mitrovic.
Subs not used: Kebano, Ayité, Zambo Anguissa, Fabri.
Booked: Bryan 25, Chambers 38.
Referee: Paul Tierney.
Manchester United: De Gea (c); Dalot, Jones, Smalling, Shaw; Herrera (Bailly 85), Matic, Pogba (McTominay 74); Mata, Lukaku, Martial (Sanchez 69).
Subs not used: Romero, Young, Rashford, Lingard.
Booked: Matic 43.
Scorers: Pogba 14, 65; Martial 23.
What Next For Manchester United ?
Manchester United will welcome king of France football league, Paris Saint-Germain to Old-Trafford as the Uefa Champions League continues on Tuesday, Feb 12th 2019.