Opportunities for the Nation and States to Harness Onshore Resources for Energy Act or the ONSHORE Act This bill addresses onshore oil and gas resources on federal land and non-federal surface estates. The bill allows states with an established permitting and regulatory program to manage certain federal permitting and regulatory responsibilities for oil and gas development on federal lands within their borders. The bill provides a mechanism for states to receive their entitled percentage of sales, bonuses, royalties, and rentals for all public land or deposits located in the state. Certain oil and gas activities conducted on non-federal surface estates do not require a permit. The Department of the Interior must defer to state regulations, guidance, and permit requirements for all activities regarding hydraulic fracturing relating to oil, gas, or geothermal production activities on federal land.