Based on Fuzzy Hopfield Network, this paper proposes a new recognition system-Based on Core Fuzzy Hopfield Network System (BC-FHNRS). Firstly, the BC-FHNRS trains the core of special target so that the core can be used to symbolize the special target. Then, the unknown pattern target can be estimated by this core to decide whether it is the special target. This paper gives a method of constructing core and proposes a training arithmetic, and the BC-FHNRS recognition arithmetic is also proposed based on these. The BC-FHNRS holds a few favorable properties--less calculating time, higher recogniting probability and higher rejecting probability. Experiment shows that the BC-FHNRS has a favorable performance.