I have missed this beach even though I live in Phuket. So many beaches around Phuket unless you just want to explore or happen to book a hotel on a holiday easy to overlook. It is a small beach on the road leading to the beach is at a dead end. You also pass a more well known beach and larger Kata Beach.
A well know place to stay is Katathani Phuket Beach Resort and we recommend. It is on the beachfront and is along most of the beach. There are the bars and places to eat off the beach. For a list of Hotels/Resorts on Phuket Island
To get there here is a map. It is at dead end road.
View of Kata Noi, Kata, and Karon Beaches