The present invention provides a faucet coupling structure capable of enabling a user to complete the faucet installation by simply inserting the faucet instead of rotating to tighten the faucet, and enabling the user to separate the faucet by holding and rotating the faucet by hand. The user can conveniently install the faucet while adjusting the angular orientation of the faucet to a desired angle. The user can install the faucet by holding and inserting the faucet by hand, and can also separate the faucet by holding and rotating the faucet by hand. As a result, the user can install and separate the faucet without using a tool.