It was a dominant performance from the home side, who truth be told could have scored a lot more than the two goals that they got in the first-half of the match at St Mary's.
The Saints took the lead in the 20th minute, when a corner was nodded back across goal by Rodriguez and Lambert, who lost his marker Dimitar Berbatov, beat Maarten Stekelenburg with his header.
Lambert who played well all night could have had a second ten minutes later when his 20 yard shot cannoned off the post. But Southampton doubled their lead in the 42nd minute when Lambert returned the favour, heading the ball across goal from a Lallana ball, into the path of Rodriguez, who nodded in.
The second half was comfortable for Southampton, who move into third with the win, while Fulham were poor throughout and didn't even have a single shot on target which will worry Martin Jol as they have a couple of difficult fixtures coming up in the next few weeks.