Germany's Auto Motor und Sport, and Speed Week, said that during a meeting with Charlie Whiting on Wednesday, the scheme - with drivers allowed to accrue only 12 'demerit points' against their super licenses before a race ban is imposed - survived a vote by 7 to 4.
The proposal will now be taken to the FIA's World Motor Sport Council for approval next month.
The new system would not completely replace the current regime comprising fines, grid penalties and warnings, but stewards will also be able to impose points penalties for on-track infractions.
As the vote demonstrated, not everyone is supportive.
"What happens if Vettel has 12 points before the German grand prix, or Alonso before Spain -- are they going to ban them in their home race?" an unnamed and sceptical team boss told German correspondent Michael Schmidt.
Reportedly, drivers will earn penalty points for pitlane speeding, causing a collision and dangerous driving, driving over the pit exit white line, ignoring flag signals, and many other infractions.
At the same Barcelona meeting, team bosses voted down Ferrari's proposal to bring back extensive in-season track testing, although some teams were in favour.