i am pursuing AMIE from Institution of Engineers India.i want to pursue MBA from IIM . AM I eligible?

As AMIE is considered equivalent to BE, and for admission to IIM, the requirement is any graduate from a recognised University or Institution, you will be eligible to write CAT which is the entrance test for admission to IIMs

As long as you are a graduate you can Appear CAT , A good percentile in CAT will get you call for GD PI from IIMs .