Abstract: A convertible sofa-bed that includes a deck comprising three flat panels hinged to one another and foldably mounted on a horizontal support frame that permits their disposition either in a bed or a sofa configuration. As a sofa, the first, front panel constitutes the seat; the second, middle panel constitutes the front portion of the back; and the third, rear panel constitutes the rear portion of the back. As a bed, all three panels lay on the same horizontal plane. Conversion from the bed to the sofa configuration is achieved by folding the panels about their common hinges, which is initiated by an inverted-L mechanism pivotally mounted under the panels so as to cause the initial break of the plane between the middle an rear panels when the front panel is lifted. Once this initial break occurs, the folding of the panels is easily accomplished by pushing the front panel backwards.