The invention relates to a stone curtain wall with high connection strength and a construction process thereof. The stone curtain wall with the high connection strength comprises stone panels and stand columns, extension plates are arranged on the side walls, facing the stand columns, of the stone panels, abutting plates are arranged on the end walls, away from the stone panels, of the extension plates, fixing blocks are arranged on the side walls, facing the stone panels, of the stand columns, clamping grooves are formed in the top wall of the fixing block, and a plurality of first fixing pieces are arranged between the extension plates and the fixing blocks together; opposite-pull plates are arranged on the side walls, facing the stone panels, of the abutting plates, and limiting groovesfacilitating abutting of the opposite-pull plates are formed in the outer side walls of the fixing blocks; and abutting strips are arranged on the top walls of the stone panels, and embedded groovesare formed in the bottom walls of the stone panels. The construction method comprises the following construction steps of measuring and positioning, preparing and positioning raw materials, mounting the stone panels, caulking and sealing glue, and checking and accepting. The stone curtain wall has the effects that the connecting strength of the formed stone curtain wall is improved, and an operator can conveniently mount the stone panels.