A novel snap pea cultivar, designated SL3123, is disclosed. The invention relates to the seeds of pea cultivar SL3123, to the plants of pea line SL3123 and to methods for producing a pea plant by crossing the cultivar SL3123 with itself or another pea line. The invention further relates to methods for producing a pea 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 pea lines derived from the cultivar SL3123.