A flexible display apparatus includes a display panel, a housing movably supporting the display panel, and a magnetic portion coupled to each of the display panel and the housing, wherein the magnetic portion includes a first magnetic portion coupled to one side of the display panel, having a first magnetism, and a second magnetic portion including a first magnetic member coupled to the housing to face the first magnetic portion, having the first magnetism and a second magnetic member having a second magnetism opposite to the first magnetism.