The video shows a BBC worker, who had headphones on, slumped in his chair, spotted watching the woman remove her bra in the raunchy movie scene.
About 3.8million viewers watched the show with so many reactions.
One person tweeted:
'@BBCNews why is there a porn video playing behind one of your news anchors during a report?'
A television source told The Sun: 'This has gone down like a lead balloon at the BBC. It is totally unprofessional.
'It beggars belief a sex scene should be played live on air. The employee is on borrowed time when bosses catch up with him.'
A viwer identified as Lyndsey Robinson took to Facebook to talk about the issue writing:
'Did anyone else notice news last night on BBC???
'Thought I was seeing things...but just re-wached On iplayer...nope I definitly saw what I thought I had.'