Method for operating a dual-circuit hydraulic brake system of a vehicle having an ABS function, wherein each brake circuit (1.1, 1.2) has in each case two inlet valves and two outlet valves (8.10, 8.11, 8.20, 8.21), an electrically actuated block valve (7.1, 7.2), an electrically actuated changeover valve (10.1, 10.2), a low-pressure reservoir (11.1, 11.2) for storing pressure medium while an ABS function is being carried out, and a hydraulic pump (3.1, 3.2) for feeding back pressure medium from the low-pressure reservoir (11.1, 11.2) into a master brake cylinder of the brake system, or the brake circuit (1.1, 1.2), wherein the hydraulic pumps (3.1, 3.2) can be driven jointly by an electric motor, characterized in that when there is an autonomous pressure buildup request to increase a brake pressure in at least one wheel brake cylinder of the brake system and an ABS control system is simultaneously activated, the following method steps are carried out: - monitoring the degree of filling (FG1, FG2) of the low-pressure reservoirs (11.1, 11.2), - emptying, by means of the associated hydraulic pump (3.1), that low-pressure reservoir (11.1) whose degree of filling first reaches a defined threshold value (SW F) of the degree of filling, by closing the changeover valve (10.1) of the associated brake circuit (1.1), and - if, during the execution of the low-pressure reservoir emptying process at the one low-pressure reservoir (11.1), the degree of filling of the other low-pressure reservoir (11.2) reaches the threshold value (SW F) of the degree of filling and the degree of emptying of the one low-pressure reservoir (11.1) undershoots a defined threshold value (SW E) of the degree of emptying, or the degree of filling of the other low-pressure reservoir (11.2) exceeds the threshold value (SW F) of the degree of filling by k/100, interrupting the low-pressure reservoir emptying process at the one low-pressure reservoir (11.1) by opening the associated changeover valve (10.1), and carrying out a low-pressure reservoir emptying process at the other low-pressure reservoir (11.2) by means of the associated feedback pump (3.2) by closing the associated changeover valve (10.2). - monitoring the degree of filling (FG1, FG2) of the low-pressure reservoirs (11.1, 11.2), - emptying, by means of the associated hydraulic pump (3.1), that low-pressure reservoir (11.1) whose degree of filling first reaches a defined threshold value (SW F) of the degree of filling, by closing the changeover valve (10.1) of the associated brake circuit (1.1), and - if, during the execution of the low-pressure reservoir emptying process at the one low-pressure reservoir (11.1), the degree of filling of the other low-pressure reservoir (11.2) reaches the threshold value (SW F) of the degree of filling and the degree of emptying of the one low-pressure reservoir (11.1) undershoots a defined threshold value (SW E) of the degree of emptying, or the degree of filling of the other low-pressure reservoir (11.2) exceeds the threshold value (SW F) of the degree of filling by k/100, interrupting the low-pressure reservoir emptying process at the one low-pressure reservoir (11.1) by opening the associated changeover valve (10.1), and carrying out a low-pressure reservoir emptying process at the other low-pressure reservoir (11.2) by means of the associated feedback pump (3.2) by closing the associated changeover valve (10.2).