A novel garden bean cultivar, designated H37113, is disclosed. The invention relates to the seeds of garden bean cultivar H37113, to the plants of garden bean line H37113 and to methods for producing a bean plant by crossing the cultivar H37113 with itself or another bean line. The invention further relates to methods for producing a bean plant containing in its genetic material one or more transgenes and to the transgenic plants produced by that method and to methods for producing other garden bean lines derived from the cultivar H37113.
