Publishing Same Research Paper on a National Conference as well as International IEEE conference I submitted my final year research paper for a national level conference as well as international level IEEE conference. I was notified that my research paper has been accepted for the national level conference before 2 weeks ago. And I submitted camera ready papers, registered and ready to present the paper next week on the national level conference. 

But yesterday I received a mail from IEEE conference by mentioning my paper is accepted for the conference and asked for camera ready papers based on their template.

Is this situation normal? Can I publish my paper on national level conference as well as international level IEEE conference?

Please note that there will be proceedings for both conferences.
You cannot publish the same paper at these two conference. For an IEEE conference publication, you have to transfer copyright on the paper to the IEEE, which precludes publication in another proceedings.

You shouldn't have submitted the same paper to two places simultaneously. It's clearly against ethical standards in academics. It is not your fault, if there wasn't a clear indication on the conference submission site, and your advisor hasn't intervened (he should have). Still you have to deal with the consequences now.

And the consequences are that you have to withdraw your paper from one of these conferences. If you have the choice, it would probably be better to withdraw from the national conference. Call yourself lucky if you don't get into deeper trouble from this.