A rolling mill comprising a control apparatus for reducing periodic disturbances which are caused mainly by roll eccentricity, in gauge control during rolling of a metal material, comprising: a load detecting device for detecting a load in a kiss-roll condition and a rolling load; load top/bottom distribution means which distributes loads detected by the load detecting device as a top side load and a bottom side load at a prescribed ratio; load top/bottom variation identification means which identifies load variation components occurring in connection with a rotational position of rolls from the top side load and the bottom side load which are distributed by the load top/bottom distribution means; top/bottom identified load variation storage means which stores, for each rotational position of rolls, a top side variation component and a bottom side variation component of the load in a kiss-roll condition which are identified by the load top/bottom variation identification means; manipulated variable computation means which computes a roll gap instruction value responding to each rotational position of rolls on the basis of the top side variation component and the bottom side variation component of the rolling load which are identified by the load top/bottom variation identification means, as well as the top side variation component and the bottom side variation component of the load in a kiss-roll condition which are stored in the top/bottom identified load variation storage means, in such a manner as to reduce plate thickness variations of a metal material which is being rolled; and roll gap manipulation means which manipulates a roll gap on the basis of the roll gap instruction value computed by the manipulated variable computation means. a load detecting device for detecting a load in a kiss-roll condition and a rolling load; load top/bottom distribution means which distributes loads detected by the load detecting device as a top side load and a bottom side load at a prescribed ratio; load top/bottom variation identification means which identifies load variation components occurring in connection with a rotational position of rolls from the top side load and the bottom side load which are distributed by the load top/bottom distribution means; top/bottom identified load variation storage means which stores, for each rotational position of rolls, a top side variation component and a bottom side variation component of the load in a kiss-roll condition which are identified by the load top/bottom variation identification means; manipulated variable computation means which computes a roll gap instruction value responding to each rotational position of rolls on the basis of the top side variation component and the bottom side variation component of the rolling load which are identified by the load top/bottom variation identification means, as well as the top side variation component and the bottom side variation component of the load in a kiss-roll condition which are stored in the top/bottom identified load variation storage means, in such a manner as to reduce plate thickness variations of a metal material which is being rolled; and roll gap manipulation means which manipulates a roll gap on the basis of the roll gap instruction value computed by the manipulated variable computation means. load top/bottom variation identification means which identifies load variation components occurring in connection with a rotational position of rolls from the top side load and the bottom side load which are distributed by the load top/bottom distribution means; top/bottom identified load variation storage means which stores, for each rotational position of rolls, a top side variation component and a bottom side variation component of the load in a kiss-roll condition which are identified by the load top/bottom variation identification means; manipulated variable computation means which computes a roll gap instruction value responding to each rotational position of rolls on the basis of the top side variation component and the bottom side variation component of the rolling load which are identified by the load top/bottom variation identification means, as well as the top side variation component and the bottom side variation component of the load in a kiss-roll condition which are stored in the top/bottom identified load variation storage means, in such a manner as to reduce plate thickness variations of a metal material which is being rolled; and roll gap manipulation means which manipulates a roll gap on the basis of the roll gap instruction value computed by the manipulated variable computation means.