When will my menstrol cycle be regular after IUD removal?  

Depends on the IUD. If you had a Mirena (levonorgestrel) iud your cycles should resume whatever they were doing before it was placed, in only a few weeks after removal. If your cycles were regular before they should be that way again shortly. If you had a copper t iud, your cycles were not affected by it and they will not change with the iud removed.
6 months. After the removal of an iud, it can take up to six months to get regualar cycles again. Some women have them very quickly, but some take 6 months. Even though your cycles may not be regular after an iud removal, you could still possibly get pregnant.