The Supreme Court on Monday refused to stay the culling of nilgai, wild boar and monkey in the states of Bihar, Uttarakhand and Himachal Pradesh.
The apex court asked the petitioners to give a representation to the respective state governments and the Centre about their objections.
The Supreme Court recorded Solicitor General Ranjit Kumar's statement that the culling is being done outside the forest area where the animals are disturbing human life.
The Animal Welfare Board, which comes under the Ministry of Environment and Forests, supported the petitioners.
The Animal Welfare Board and the petitioners argued that the permission to kill animals can be given only after a proper study, adding the respective governments have not done any study and are killing animals only on the basis of farmers' complaints.
The matter will be heard in detail on July 15.