In a process for cleaning, cleaning a packed column utilized in a gas scrubbing operation wherein the packing is obstructed by solids formed during the scrubbing step, the obstructions are removed in a maximally economical fashion and without interrupting of normal operation. The packed column contains at least n, wherein n>1, superimposed packed beds spatially separated from one another. During cleaning, the lowermost up to maximally the (n-1)th packed bed are flooded with scrubbing agent. Preferably, the packed column is used for scrubbing H.sub.2 S out of a feedgas mixture with an oxidative scrubbing agent wherein sulfur is formed during the scrubbing operation and deposited in the packed beds.