Bismuth-doped ytterbium and holmium titanates have been synthesized and their magnetic properties have been investigated. The magnetization curves and temperature dependences of the susceptibility in fields of up to 30 kOe at temperatures from 2 to 300 K have been obtained. The properties of the doped and undoped titanates have been compared. It has been established that the temperature dependences of the product of susceptibility and temperature contains a linear portion and the slope sign in these dependences changes upon doping for both the Ho_2Ti_2O_7 and Yb_2Ti_2O_7 titanates. Based on the investigated temperature dependences of the susceptibility, the magnetic dipole and exchange couplings in the titanates have been analyzed.