The former England international, who joined Stoke on a free transfer in September 2012, had not found the net since May 2011 when he was playing for Manchester United.
"Thanks for all your kind messages people. Not the ideal way to bring up the milestone but nice to get off the mark for Stoke. #150club," the 33-year-old wrote on Twitter.
Owen's previous Premier League goals were scored for Liverpool, Newcastle United and Man United.