The invention discloses a fast-settling capacitive coupling amplifier. Two capacitive coupling channels inserted into multi-channel mixed nesting type Miller compensation topology are used in the amplifier, wherein one channel is a direct high frequency channel and the other channel is a slow-settling channel. The combination obtains the response to chopped wave frequency and smooth frequency through the chopped wave frequency and the fast-settling response. All example embodiments are disclosed, and operational amplifier configuration and instrumentation amplifier configuration are disclosed.