The work aims to study one scale model to replace the prototype for the test, so as to solve the difficulty in the drop impact test for the prototype of radioactive material transportation container. The scaling law for scale model was derived from the Buckingham "Π theorem" in the dimensional analysis. Taking the simplified cylindrical radioactive material transportation container as an example, the dynamic responses of its prototype model and quarter-scale model dropping to (colliding with) the rigid ground were numerically simulated by ABAQUS dynamic display algorithm under the accident conditions, from the height of 9 m with bottom angle drop. The change law of mechanical properties (including the strain, stress and acceleration at key positions as well as the contact force with the rigid ground) was well consistent with the theoretical analysis results. In certain scale range, the scaling law is applicable for the test of scale model of the radioactive material transportation container and can provide scientific basis for the alternative experiment of original container.