"人工呼吸急救法" can be translated into English as "artificial respiration first aid method" or more commonly and concisely as "artificial respiration for first aid".
In a medical or emergency context, it might also be referred to as "mouth-to-mouth resuscitation" (if specifically referring to the mouth-to-mouth technique within artificial respiration) or simply as part of "cardiopulmonary resuscitation (CPR)", which includes both chest compressions and artificial respiration. However, if focusing strictly on the term "人工呼吸急救法," "artificial respiration for first aid" is a direct and appropriate translation.