The authors have proposed effective steel connections achieving high bending stiffness and strength for timber grid-shell structures, and confirmed their performances through real size mock-up tests. In this research, reflecting the test results, the buckling strength of 24m-span timber grid-shell with and without diagonal bracing roofs are discussed. Their theoretical buckling strength including the rotational stiffness at connections are derived using continuum shell analogy, and compared with the results of discrete FEM analyses. Finally, the reduction factor equations of buckling strength as the functions of in-plane / outof-plane bending and rotational stiffness are proposed, followed by confirming their validity.