Christians also chant the Bible. Check out Orthodox Chanting.

Many groups of monks chant. The Gregorian chant is a well known form.

There are some primarily medieval traditions that do chant, however it has not caught on to the same extent as other religions due to this text in Matthew 6:7 in Jesus's famous Sermon on the Mount, "'And when you are praying, do not use meaningless repetition as the Gentiles do, for they suppose that they will be heard for their many words.'"

During Christmas and Easter Masses in the Roman Catholic Church, one will hear more chanting, since these are the two highest holidays (Easter vigil being the higher of the two)

It is not particularly common in the Protestant West as there is no standard version of the Bible, whereas the Torah and Qu'ran are standardised. However apart from the RC and Orthodox chants already mentioned, psalms are commonly chanted in the Anglican tradition (both sung and spoken) and in some other denominations. In the UK, for instance, almost any traditional hymnbook will have a section towards the back for this. Scotland has a separate tradition of sung "metrical" psalm, ie psalms with translation designed to fixed musical metres so that they can be paired with a large number of traditional tunes. Probably the best known is "The Lord is my shepherd" set to Crimond, but all the psalms and many other parts of the OT are traditionally sung.