The story of Job is found in Q 21:73-74 and 38:41-44. Job is said to be a descendent of Abraham (see Q 6:4 where he is listed along with David, Solomon, Joseph, Moses, and Aaron). Muslim exegetes hold that Job was a Roman or an Israelite living among the Romans. Q 38:42-44 mentions that Job's affliction was relieved with cold water and many shrines ascribed to Job contain water sources and wells.
Tombs of Job are plentiful and can be found in Iraq, Syria, India, and Central Asia.
Tomb of Job in Central Asia
Tomb of Job near Salalah
Bibliography on Job