(Y, Gd)Ba2Cu3Oy and (Y, Eu, Gd)Ba2Cu3Oy films with and without Zr addition are prepared. The effect of Zr addition on critical current density Jc is different for the two series. Compared to (Y, Gd)Ba2Cu3Oy films without Zr addition, Jc(B) is clearly enhanced by adding Zr, especially in high field. But for (Y, Eu, Gd)Ba2Cu3Oy films, the addition of Zr is disadvantageous to Jc. Analysis indicates that the flux pinning mechanism is altered for (Y, Eu, Gd)Ba2Cu3Oy films, whereas it remains the same for (Y, Gd)Ba2Cu3Oy films after adding Zr.