The playwright and author has sent a message of support to his neighbours in Bentham, North Yorkshire, claiming that shutting reading rooms that promote child literacy is "child abuse".
Protesters will underline the accusation during a banner waving protest outside and a "read in" in the library on Saturday.
Many small libraries in North Yorkshire are under threat because of Government cuts and a consultation process is under way on cutting small branches and providing the service from a number of core libraries.
Organisers say support for their campaign is widespread including that of Alan Bennett, who has a house in the area.
The nearest alternative branch is Settle, which is 12 miles away, or Skipton, which is 40 minutes drive away.