Name Surname swap in Passport and US VISA

[zatish]

In my old passport (Hand Written) surname was mentioned in place of name and name in place of surname. In 2012 I applied for US Visa. I received visa as per my passport record and traveled to US in May 2012. I renewed my passport last month and observed Indian Embassy has corrected the name and surname properly in the new electronic passport. As my US VISA name surname is now different from my new passport record will there be any problem when I enter US next time in July 2013?
Please someone help me.
Regards
Zatish Kumar Nandi
[email protected]

[immihelp]

Carry both the passports.