You may be looking for forest reserve, a generic term associated with protected forest areas, which is also used as a specific term for protected forests in some countries
A reserve forest or a reserved forest is a specific term for designating forests and other natural areas which enjoy judicial and / or constitutional protection under the legal systems of many countries. The term forest reserve may also be used in some contexts in these countries. Confusingly, in certain countries like Australia, the term "forest reserve" is used to denote forests accorded certain degrees of protection.
The term reserved forest was used to designate protected forest areas in British India, under the Indian Forest Act, 1927. Hence, the term reserved forest is still used in India, Pakistan and Bangladesh to refer to forests accorded a special degree of protection. For reserved forests in India, see Reserved forests of India.