A cover (24) of a draft shield (12) of a precision balance (10), has a support frame (36) on which holding elements (40) and/or guide rails (38) are provided for a front panel (18) and/or at least one side panel (26), and a cover element (54) which is pivotable, about a bearing (60) provided at one edge, between a holding position and a releasing position. At the edge positioned opposite the bearing are holding elements (72, 74) which fix the cover element at the opposite edge of the support frame, wherein the holding elements can be released by displacing at least one portion of the cover element in the direction toward the bearing.