The vandals struck at the Southern Cemetery on Barlow Moor Road overnight on Thursday.
Staff found the Muslim section of the cemetery littered with broken headstones on Friday morning.
Det Con Rob Southern said: “Sadly, we are treating this as a hate crime. This sort of mindless, racist behaviour must be utterly condemned.”
Police appealed to anyone who has information to come forward.
Southern Cemetry’s a short walk from casa Spinneyhead. I’ve heardx about Jewish graves being vandalised before. Whether it turns out to be the same group of morons remains to be seen.