The Magpies and Cottagers fought hard for the point which was mainly brought about by a top-notch Mark Schwarzer save in the 52nd minute.
The Australian denied Andy Carroll an eighth goal of the season when he produced a stunning save from Carroll's volley to keep his side in the contest.
Newcastle dropped to seventh from fifth as Fulham remained 15th on the league table.
Venue: St James' Park, Newcastle Crowd: 44,686 Referee: Lee Probert Yellow cards:NU - Michael Williamson 45', Cheick Tiote 66' FU - Brede Hangeland 56', Danny Murphy 90'
Newcastle Tim Krul (gk), Fabricio Coloccini, Michael Williamson, Jose Enrique, Danny Simpson, Kevin Nolan, Cheick Tiote, Peter Lövenkrands (Ranger 77'), Jonás Gutiérrez, Danny Guthrie (Routledge 76'), Andrew Carroll
Subs - Ole Soderberg (gk), Wayne Routledge (76'), Nile Ranger (77'), Alan Smith, Sol Campbell, Steven Taylor, Xisco
Fulham Mark Schwarzer (gk), Brede Hangeland, Aaron Hughes, Damien Duff, Stephen Kelly, Danny Murphy, Simon Davies, Clint Dempsey, Zoltan Gera (Etuhu 70'), Andrew Johnson (E.Johnson 89'), Moussa Dembele