Two new X-ray burst sources were discovered in the galactic-bulge region from the Hakucho observations. These sources are most likely in the globular clusters Terzan 1 and Terzan 5. Including these two, there are at least eight burst sources associated with globular clusters, of which six lie within 10 deg of the galactic center. These cases enhance the evidence for the Population II nature of the burst sources and for their strong concentration toward the galactic center. The burst activity of the Terzan 5 source appears episodic.