Alexander Isak scored his first goal at St James' Park but Newcastle remain without a win since the opening day of the Premier League season after being held by a disciplined Bournemouth.
Eddie Howe's side fell behind against his former club when midfielder Philip Billing stretched to steer a Jordan Zemura cross from the left-hand wing past Nick Pope with just over an hour gone.
Five minutes later Newcastle were level as Isak - a club record £60m summer signing from Real Sociedad - converted a penalty after Jefferson Lerma was adjudged to have handled a Kieran Trippier cross by the video assistant referee.