The results of X-rays, electrical resistivities and magnetic studies performed on Y1-xZrxBa2Cu307-6 and Y1-2xZrxEuxBa2Cu307 s superconducting compounds, in the temperature range 4.2-500 K and external fields up to 50 kOe are reported. The presence of zirconium decreases the superconducting transition temperatures, T c. Below Tc, the hysteresis loops narrow when the zirconium content increases. From the magnetization curves, the critical current densities were determined. A time dependence of the magnetizations of logarithmic form was found. The flux-pinning energy was estimated to be U -~ 0.03 eV. Above the transition temperatures, Y1-xZrxBa2Cu307-~ samples show a Pauli-type paramagnetism, while Y1-2xZr, EuxBa2Cu307 ~ compounds have, in addition, temperature-dependent contributions to the magnetic susceptibilities. The effective europium moments are --~ 3.40 ~1, B suggesting that the ion is in ( 4-3) valence state.