Police said they have arrested a 25-year-old man with the surname Wu in Lianjiang town.
The other victims are a teacher and two parents, AFP reported, quoting a local city official. One person is also injured.
The attack happened on Monday at 7.40am local time.
The man was arrested at 8am and police have called this a case of "intentional assault".
A storeowner who works near the kindergarten told the BBC the surrounding area has been sealed off.
