Faisal Al-Sultan and Ghanaian Goodwin Atram scored a goal each to give the Riyadh giants the victory.
The win increased Shabab’s tally to 15 points from six matches, leading the Saudi league table, while Hazm lie in 9th spot on six points.
Elsewhere, Shabab’s city rivals, Hilal, edged past Al-Faisali with a 1-0 win, courtesy of a last-gasp Yassr Al-Qahtani goal.
The result put Hilal in second place, trailing Shabab on goal difference.
GCC Champions League hopefuls Al-Ittifaq were stunned by a 1-0 home defeat at the hands of Al-Wehda.
Nasser Al-Shamrani scored the winner for Wehda, which put them in fourth place on 12 points.
In other Saudi league matches that took place on Friday, Ahli Jeddah lost to Al-Taie 4-2 and Al-Nassr beat Al-Qadisiyah 2-1.