Composition for control of insect pests includes an ammonium phosphate containing formulation effective for the kill and/or control of a hatched insect pest and/or an insect pest egg. Provided in a second aspect is a method for kill or control of an insect pest, which includes providing the composition and applying it so as to contact an insect pest and/or an insect pest egg in an amount effective to kill or control the insect pest and/or insect pest egg. Protocol methodology for inspection of premises that may contain the insect pest and/or insect pest egg, and, if necessary, for kill or control of the same, which may include by employment of the method for control of the insect pest, is also provided. Bedbugs and/or their eggs are a special target effectively killed or controlled.