A rigid plugging method for a mine tailings pond drainage well includes: casting in situ to form a concrete plugging block at the junction of the drainage well and a drainage channel, embedding a drainage steel pipe in the casting process, setting a pebble layer on the concrete plugging block, setting a gravel layer on the pebble layer, setting a nonwoven geotextile layer I on the gravel layer, setting a coarse tail sand layer on the nonwoven geotextile layer I, wrapping the entry end of the drainage steel pipe with multiple layers of nonwoven geotextile, placing the entry end in the pebble layer above the concrete plugging block at a drainage well section, and placing the exit end of the steel pipe outside the concrete plugging block at a drainage channel segment; at the exit of the drainage channel, setting a bagged coarse tail sand layer I in the water flow direction, setting a nonwoven geotextile layer II outside the bagged coarse tail sand layer I, setting a bagged coarse tail sand layer II outside the nonwoven geotextile layer II, and setting a bagged gravel layer outside the bagged coarse tail sand layer II. According to the method, by improving stress conditions of a plugging member, plugging failure can be effectively avoided, and construction is simple, fast, economical and environmentally friendly.