I am making design intended to corporate pamphlet. For this purpose I am using ILLUSTRATOR software. However in the printing press it is facing difficulty. Only the cdr format is accepted. Give me the hints to do it. 
What version of Illustrator are you using?
How come the print house only accept .cdr? They don’t accept .PDF? .eps?..
I am using version 10.
From memory this is not a standard output format (it is afterall the competition’s native format). If your print house is worth anything they should be able to take an EPS or a PDF and place into a blank Corel Draw file and print from there. Unless they are using a very old version it should also be able to import a PDF also.
If they are having trouble importing say a PDF as for specific errors that are being thrown up as it could be something easy to address by exporting to a particular PDF standard or set of specs.