A rotation hinge apparatus of a portable terminal including a body housing, a folder including a liquid crystal display section and rotated in the body housing about first and second axes, and a connection member rotatably connecting the folder about the first and second hinge axes includes a base member; a rotation member; first and second guide pins provided in the rotation member; first and second guide sections provided in the base member. The first and second guide sections engage the first and second guide pins to place the liquid crystal display section of the folder at the center of the connection member by guiding linear movement of the first guide pin when the rotation member is rotated about the second hinge axis, and by moving the second guide pin, guiding and moving the second hinge axis in an inclined manner and then in a curved manner.