Plain English Meaning
Class D is the airspace around a smaller tower-controlled airport. To fly into it, you have to talk to the tower on the radio first and get a response that uses your call sign, but you don't need special permission to enter.
Full Definition
Class D is a category of controlled airspace surrounding airports that have an operating control tower but do not meet the traffic volume or instrument approach criteria for Class C or Class B. It typically extends from the surface up to 2,500 feet above the airport elevation and is generally shaped as a cylinder with a of about 4 , though the exact dimensions are tailored to each . with the tower must be before entering, but a and are not required for operations.