The 24-year-old opened the scoring on 34 minute with a solo effort Colombian Danilo Moreno pulled parity on 57 minute.
The pacy wideman impressed again with his enviable work ethic as the visitors struggled to contain his trickery and pace.
The Ghana international was replaced on the full stroke of full time as the host failed to make home advantage count.
Owusu has been a key cog of the Saudi Pro League side since joining where he has consistently shone an improved performance.
The winger has now scored seven goals in 24 appearances and contributed several assists.
Al Fahya lie 11th on the table with 28 points from 25 games.
#Video Blacks Stars Winger Samuel Owusu 31st minutes goal earn Al Feiha a one point against Al Shabab after losing their First two games since the Restart of the Saudi Super League @Samuelowusukwa @Ghanasoccernet @ghanafaofficial pic.twitter.com/gzsGGB754A
— #KudusDream (@PedroJrGh) August 14, 2020