A jalapeno pepper inbred line designated Line 437 is disclosed. The invention relates to the seeds of pepper Line 437, to the plants of pepper Line 437, and to methods for producing a hybrid plant, either inbred or hybrid, by crossing the pepper Line 437 with itself or another pepper plant. The invention further relates to methods for producing a pepper 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 pepper lines, cultivars or hybrids derived from the pepper Line 437.