The "problem" ,especially "scientific problem" is a very important basic concepts of scientific epistemology or methodology. Problems not only be associated with the world, but also connected with the other four basic concepts：undesirability, attention, difficulty and solvability. These four core relevant concepts show the content and the forming process of the problem in the concept sense. These four constituting elements and their mutual relations about "problem" was discussed by analysing and evaluating the Gene P·Agre's thought about "concept of problem".