Speaking on the BBC's Andrew Marr show Mr Nuttall said wearing a burka or niqab in public was a barrier to integration and a security risk.
Muslim women who defied the ban would face a fine, he suggested.
UKIP's "integration agenda", to be launched on Monday, will also propose outlawing sharia law.
Mr Nuttall told the programme: "We have a heightened security risk at the moment and for CCTV to be effective you need to see people's faces.