By Brendan Sasso - 12/21/12 10:48 PM EST
The White House began working on the order after Senate Republicans blocked the Democrats' preferred cybersecurity bill.
But in their letter, the House Republicans urged the administration to continue working with Congress.
They said the president should support the Republicans' cybersecurity bill, the Cyber Intelligence Sharing and Protection Act (CISPA), which would encourage companies to share information about cyber threats.
"This framework will work better than attempts to place the government in charge of overseeing minimum standards for industries seeking to invest in new and innovative security solutions," the Republicans wrote.