There are some problems in the implementation of adaptive systems, which are the design complexity related to the problems. In this paper, through analyze the structure of adaptive systems, we divide the evolutionary system into two parts, one is the evolutionary algorithms kernel and the other is the fitness calculator. In the implementation process, the evolutionary algorithms kernel is implementation using the state machine which described by VHDL language, and the population size, the length of chromosome and other parameters can be configured. We implement the kernel based on Xilinx Virtex-V1000FG680 and use the test problem to verify the effectiveness of our design.