A kitchen faucet leak becomes more common as the fixture ages. If you have a faucet with a sprayer, you have more opportunity for leaks. A common source of leaks is at the sprayer attachment.
You may find a leak under your kitchen faucet when you see the small puddle of water laying on the cabinet floor.
This is going to take some investigative work, along with a flashlight. You will need to turn the water on to the faucet while looking for the leak. Pay particular attention to the area where the sprayer hose connects to the base of the faucet. If the leak is occurring at another location of the faucet, you may end up replacing the faucet if it is not leaking at a connection.
If the leak is at the connection of the sprayer hose, you can try to tighten it, remove it to find the problem, or replace the entire faucet. Some hoses are held on with a threaded connection, and some are held on with a clip. It may be that you can remove it, replace a washer, re-tape the threads with Teflon tape, and screw it back on. However, if the faucet looks to be in generally bad shape I would replace it.