A parasol assembly suitable for sheltering a car or for providing shade during an outing comprises a parasol installed on a mounting bracket which comprises a base 21, two movable sheath plates 41 removably connected to opposed mounting plates on the base 21, T- shaped fixing strips 42 each associated with a respective hook 43, and a socket on the base 21 arranged to receive one end, of the parasol pole. When the parasol is used apart from the car, a connecting tube is provided to support the parasol. As the parasol is unfolded and ther lower end of the connecting tube is planted in the ground, the parasol acts as a sunshade. <IMAGE>