The physical properties of hydrate‐bearing sediments depend on the interaction between hydrates and minerals. In particular, hydrates prefer to nucleate on mineral surfaces, therefore, the hydrate‐mineral adhesive strength and the tensile strength of the hydrate mass itself affect the mechanical response of hydrate‐bearing sediments. In this study, ice and hydrates made with various guest molecules (CO2, CH4, and THF) are formed between mica and calcite substrates. Adhesive and tensile strengths are measured by applying an external pull-out force. Results show that tensile failure occurs in CO2, and CH4hydrates when calcite is the substrate, while ice and all hydrates exhibit adhesive failure on mica. The debonding strength is higher when calcite substrates are involved rather than mica substrates. A nominal pull‐out strength of 0.15 ± 0.03 MPa can be adopted for mechanical analyses of hydrate‐bearing sediments.