A laser imageable flexographic printing plate precursor comprises a thermoset elastomeric upper layer that is at least partially ablatable and comprises a radiation sensitive compound, and a non-ablatable elastomeric underlayer. This flexographic printing plate precursor can be imaged to provide a printing plate that is primarily useful for "high quality" printing because the resulting relief image is generally not greater than 600 .mu.m and has an extremely even "floor". The imaged flexographic printing plate also can have a high visual contrast between the imaged areas and the non-imaged background areas.