How can i culture mycobacterium tuberculosis?

You don't: The lab does, on special media. If you try it yourself, and you actually have somebody with active TB to grow it from, you'll generate a mass of nasty bacteria and if you don't know exactly what you are doing, you can make everybody around you very sick.

ThroughTheLab: You can not culture Mycobacterium Tuberculosis by your self.The specimen has to be collected by your doctor or healthcare provider properly and sent to be Bacteriological Laboratory to be cultured where it is incubated for several days to grow the mycobacterium as it is slow growing bacteria