The closure is needed to allow major resurfacing work to be carried out.
Works will be carried out from Wednesday, October 29 until Friday October 31 and the work will not start until 6pm to keep disruption to a minimum. The road should be re-opened by 5am the following morning, in time for commuter traffic.
Clive Hall, Herefordshire Council's network manager, said: "I would ask motorists to bear with us while this necessary work is carried out.
"By starting at 6pm we are reducing the inconvenience to commuter traffic and diversions will be well signposted," he added.