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Backfill hydraulic support is the key equipment in achieving coal mining and solid backfilling simultaneously in solid backfill mining technology. Based on the summary and analysis of main types, basic structural properties and filed application of backfill hydraulic support, this work has firstly proposed the basic principle of backfill hydraulic support optimization design and provided the method of optimal design of key structural components, like four-bar linkage, rear canopy and tamping structure; the method is further elaborated as changing hinging position of upper bar to optimize four-bar linkage, by lengthening or shortening the rear canopy to optimize length ratio of canopy; and by changing length and hinging position of tamping structure as well as suspension height of backfill scrape conveyor to realize optimization of tamping structure. On this basis, the process of optimal design of backfill hydraulic support is built. The optimal design case of ZC5200/14.5/30 six columns-four bar linkage used in 7203W workface of Zhaizhen Coal Mine shows that the backfill properties like horizontal roof gap, vertical horizontal gap, tamping angle and tamping head gap are improved obviously through optimizing four-bar linkage, canopy length and tamping structure according to the optimal design method proposed in this work.