Due to the development of global navigation satellite systems (GNSS), the problem of determining the geoid heights from the gravity disturbances is becoming increasingly actual. This problem has a well-known solution by means of Hotine‒Koch integral transform. To solve the same problem using regional gravity data, Hotine‒Koch kernel should be modified. In this article relevant modifications of the kernel are proposed. These modifications are based on the theory of Molodensky’s truncation coefficients in Stokes integral transform.The frequency characteristic of the truncation operator of Hotine‒Koch kernel onto inner zone of ψ0 radius is introduced in terms Fourier analysis. It is established that in frequency domain expansion of the modified Hotine-Koch kernel differs from the expansion of Hotine‒Koch kernel by this frequency characteristic.The formulas connecting the original and the modified truncation coefficients are derived.