Using the first-principles calculations based on the coherent potential approximation, we study the electronic structure, magnetic moments and the bulk modulus of FeX alloys with IVB group elements (X = Si, Ge, Sn) in the Fe-rich concentration range (x = 0.0-0.25), which form a stability region of bcc-related phases. In agreement with experiment, our calculations reproduce well a peculiar non-monotonous behaviour of the bulk modulus in Fe-Si alloys with increasing Si concentration. Such a dependence is found for all bccrelated disordered and partially ordered Fe-Si phases A2, B2 and D0 3 , which is in contrast with an earlier suggestion that the non-monotonous bulk modulus behaviour is related to partial ordering in Fe-Si. In addition, our results predict a similar behaviour in Fe-Ge and Fe-Sn alloys. It is shown that the observed behaviour of the bulk modulus is entirely related to the changes of the magnetic properties with chemical composition.