Is there a way to download free apps. without using credit card info ?

The Apple Support Communities are an international user to user technical support forum. As a man from Mexico, Spanish is my native tongue. I do not speak English very well, however, I do write in English with the aid of the Mac OS X spelling and grammar checks. I also live in a culture perhaps very very different from your own. When offering advice in the ASC, my comments are not meant to be anything more than helpful and certainly not to be taken as insults.

Is there a way to download free apps. without using credit card?

Not with your current Apple ID. You have to create a new Apple ID using these instructions from Apple, exactly as written;

Creating an iTunes Store, App Store, iBookstore, and Mac App Store account without a credit card -

http://support.apple.com/kb/HT2534

If I don't have credit card, debit card will be accepted?

As long as the debit card is from a bank in the country where you live, is connected to your demand deposit account in the bank (like a checking account,) has the VISA or MasterCard logo and has a verifiable billing address in that same country.