The authorities can now make traffic regulation orders within their boundaries on rights of way and unsurfaced roads.
The new measures are part of a package designed to curb excessive or inappropriate use of vehicles away from ordinary roads.
The last few years has seen a growing debate about the appropriateness and sustainability of the use of byways by motor vehicles for recreation.
Some National Parks have attracted considerable numbers of recreational off-road motor vehicles.
The government considers that in many cases a level of recreational use that may be acceptable in some areas is inappropriate in National Parks, which are designed to conserve and enhance natural beauty, wildlife and cultural heritage as well as enabling people to enjoy their special qualities.
Government research indicated that while the existing byway network can in general support current levels and types of motor vehicle use, there can be difficulties on particular byways. Most people who responded to public consultation supported the new powers.
The new powers are set out in Section 72 of the Natural Environment and Rural Communities Act 2006.