Bed frame of the type comprising a headboard and a front head connected by longitudinal bars, to constitute a support structure for a bed base, with said bed frame provided with feet, suitable to determine a predetermined height from the ground of the same, said bed frame providing for: - a first transverse box-shaped element, arranged at said headboard, substantially extended over the width of said bed frame and comprising a first horizontal bottom wall, a first vertical wall and two first lateral edges; - a second box-shaped transverse element, specular to said first transverse element, arranged parallel to the latter and located at the aforementioned front head, at the same height from the ground with respect to the same first transverse element, with said second transverse element comprising in turn a second horizontal bottom wall, a second vertical wall and two second lateral edges; - a pair of longitudinal bars, extended substantially along the length of said bed frame, arranged perpendicular to said first and second transverse elements (1, 2), placed from the outside against the respective aforementioned first and second edges (51, 52) and locked to them, to achieve a stable connection between the same first and second transverse elements (1, 2); - a first and a second pair of feet, respectively associated with said first and second transverse elements (1, 2); - spacer members (8, 9), of predefined height, removably locked above said first and second horizontal bottom walls (31, 32) of the aforementioned first and second transverse elements (1, 2), the same spacer members (8, 9) being designed to be interposed between said first and second horizontal bottom walls (31, 32) and an overlying bed base, so as to define for it a predetermined height from the ground; wherein said bed frame is of the type with the width up to a double bed and said spacer members (8, 9) are made up of three bed spars (8, 9) of identical height, extended between said first and second transverse elements (1, 2), two of which being arranged inside said first and second edges (51, 52), near them, and at least another one being arranged at the longitudinal centreline of said bed; or said bed frame is of the type with the width of at least a double bed and with said bed base separated in two side by side parts (12S, 12D), one for each of the aforementioned parts of the bed and said spacer members are made up of two pairs of bed spars (8S, 9S and 8D, 9D) extended between said first and second transverse elements (1, 2), with the bed spars (8S, 9S) of a first pair of said bed spars having a same predefined height and being arranged below the first part of the aforementioned bed base, and with the bed spars (8D, 9D) of a second pair of said bed spars having a second same predefined height even different from the height of the aforementioned bed spars (8S, 9S) of the first pair, said bed spars (8D, 9D) of the second pair of said bed spars being arranged below the second part of the aforementioned bed base, with the external bed spars (8S, 8D) of each pair being arranged inside said first and second edges (51, 52), near them, and with the remaining central bed spars (9S, 9D) of each pair being arranged substantially side by side at the longitudinal centreline of said bed. - a first transverse box-shaped element, arranged at said headboard, substantially extended over the width of said bed frame and comprising a first horizontal bottom wall, a first vertical wall and two first lateral edges; - a second box-shaped transverse element, specular to said first transverse element, arranged parallel to the latter and located at the aforementioned front head, at the same height from the ground with respect to the same first transverse element, with said second transverse element comprising in turn a second horizontal bottom wall, a second vertical wall and two second lateral edges; - a pair of longitudinal bars, extended substantially along the length of said bed frame, arranged perpendicular to said first and second transverse elements (1, 2), placed from the outside against the respective aforementioned first and second edges (51, 52) and locked to them, to achieve a stable connection between the same first and second transverse elements (1, 2); - a first and a second pair of feet, respectively associated with said first and second transverse elements (1, 2); - spacer members (8, 9), of predefined height, removably locked above said first and second horizontal bottom walls (31, 32) of the aforementioned first and second transverse elements (1, 2), the same spacer members (8, 9) being designed to be interposed between said first and second horizontal bottom walls (31, 32) and an overlying bed base, so as to define for it a predetermined height from the ground;