► We proposed the bulk high critical temperature superconductor staggered array undulator (Bulk HTSC SAU) for future synchrotron light sources. ► The Bulk HTSC SAU consists of stacked bulk high-Tc superconductors (HTSs) and a solenoid magnet. ► A periodic magnetic field is generated by an inductive current which flows in each magnetized bulk HTS. ► A periodic magnetic field was successfully produced and controlled using a prototype of the Bulk HTSC SAU at 77K. ► The expected performance at low temperatures around 20K is 0.8T for the undulator period of 10mm and the gap length of 4mm. An undulator or a wiggler with a strong magnetic field will play an important role in future synchrotron light sources, free electron lasers, and linear colliders. We proposed the bulk high critical temperature superconductor staggered array undulator (Bulk HTSC SAU) in order to generate a strong periodic field. The Bulk HTSC SAU consists of stacked bulk high-Tc superconductors (HTSs) and a solenoid magnet which is used to magnetize the bulk HTSs. A periodic magnetic field was produced and controlled using a prototype of the Bulk HTSC SAU using 11 pairs of REBaCuO bulk HTSs at 77K. The expected performance at low temperatures around 20K is calculated using a loop current model.