The anisotropy of elasticity of single crystal superalloy is essential to understand its mechanical behavior, e.g. calculating the vibration frequency of turbine blade and avoiding resonance during operation. However, it's difficult to calculate the stiffness constants of single crystal superalloy by theory methods. In this work, one simple experimental method is employed to determine the stiffness constants. The slabs of a first generation single crystal superalloy in two orientations 〈001〉〈100〉 and 〈011〉〈110〉 are employed to measure the Young's modulus and shear modulus of this alloy. The Young's modulus and shear modulus of the first specimen and the shear modulus of the second specimen are measured by resonance method from room temperature to 1100 ℃. The three stiffness constants C₁₁, C₁₂ and C₄₄ of this superalloy are calculated from the measured moduli. The Young's modulus and shear modulus in any orientation can be calculated based on the stiffness constants. Further, the 3D distribution map of Young's modulus and maximum and minimum of shear modulus related to primary orientation can be drawn, so the distribution feature of modulus in 3D space can be acquired conveniently. When the primary orientations are along 〈001〉 and 〈111〉, the shear modulus in plane is isotropy with secondary orientation. When the primary orientation is along 〈011〉, the shear modulus demonstrates significant anisotropy with secondary orientation, the shear modulus reaches minimum with secondary orientation 〈110〉, while the maximum is obtained in secondary orientation 〈100〉.