A bracket (6) for releasably securing a channel section blind headrail (10) to a wall or ceiling, said channel section blind headrail including a web (11) and front and rear upwardly extending flanges (12, 13), each having an inturned rim (14, 15) at its upper free edge, said bracket including a main body (18) securable to a wall or ceiling, spaced, forwardly extending portions (26, 28) on said body, recesses (30, 32) on the forward end of each said portion engageable by the inturned rim of the forward flange of the headrail, a separate member (38) capable of limited horizontal movement relative to said main body, at least one lug (47, 49) on said separate member engageable under said rim on the rear flange of the headrail and a tongue (66) on the forward end of said member, positioned to overlie the rim of the front flange and extend forwardly thereof sufficiently to enable the tongue to be forced forward to disengage the lugs from the rear rim said separate member provided with resilient means to urge it towards a rearward position to engage said lugs under the rim of the rear flange, and being movable forwardly, against the action of said resilient means, to disengage the lugs from said rim to allow said headrail to be released.