The Cybersecurity Act was introduced Tuesday and would give DHS the ability to handle private network breaches.
The bill also calls for more information sharing between government and the private sector.
Napolitano said DHS already offers to aid to the banking industry and stock exchanges to repair a breached system.
Napolitano also said DHS helps examine if multiple systems have been affected by a virus or breach when they are reported.
“There’s no requirement for information exchange in that regard,” Napolitano said, according to NextGov. “We don’t know that actually we get all the information we need from that critical piece of the economy.”
The Pentagon recently handed over to DHS a program through which the government shared cybersecurity information with defense contractors.