A cover structure of a container is provided. The cover structure has a bottom cover assembled on an opening of the container's body, a top cover openably and pivotally connected with the bottom cover to simultaneously cover the bottom cover and an outlet of a watering seat assembled on the opening of the container's body, and a latch mechanism disposed between the top cover and the bottom cover. The latch mechanism has a first latch seat assembled on the top cover, a second latch seat elastically, horizontally and movably assembled between a first position and a second position of the bottom cover, and a sliding latch bolt vertically and slidably assembled between a third position and a fourth position of the second latch seat.