During the process of fixed abrasive (FA) lapping, the micro-fracture of abrasives is the main approach to realize the self-conditioning process of the FA pad; the lapping load is one of the key parameters that affects it.The FA pads were prepared by using single diamond (SD) and agglomerated diamond (AD) abrasives. Marathon lapping tests were carried out, using quartz glass as the workpiece under a lapping load of 15 kPa. The material removal rate (MRR) and machining stability of the two FA pads were comparedtogether. Four kinds of AD abrasives with different concentrations of the ceramic binder were prepared and chosen as the abrasives to prepare the corresponding fixed AD abrasive (FADA)pads; their self-conditioning performance was evaluated under different lapping loads. The surface roughness(Ra) and morphology of the lapped quartz glass were observed. The results show that: the Ra of quartz glass lapped using the FADA pad is lower than of that lapped using fixed SD abrasive(FSDA) pad and that the former has a greater machining stability. Under a higher lapping load of 15-21 kPa, the FADA pad with the second highest ceramic binder concentration has the highest lapping efficiency; its MRR is 8.94-12.43 μm/min and Ra is approximately 60 nm. Under a lower load of 3.5-7 kPa, the FADA pad with the second lowest ceramic binder concentration is the most stable; its MRR is 2.67-3.12 μm/min; the Ra is approximately 40 nm. AD abrasive with a high ceramic binder concentration is more suitable as the abrasive for a FA pad in high-load applications, while that with a low concentration is more suitable for low-load applications.