A dynamic weighing machine that comprises a set of buckets, each bucket having two sides (4, 5) and a bottom; a series of bucket-carrying supports; and a transport system that continually moves the supports along a path; the supports and buckets of the machine being prepared for their mutual coupling with limited vertical movement capacity of the bucket with respect to the support, such that each bucket can adopt at least two coupling positions, one of which is a supporting position, in which the weight of the container rests on the support, and the other being a weighing position, in which the bucket is slightly raised with respect to the support, where both coupling positions allow the support to carry the bucket with it while being transported, comprising the weighing machine; a weighing station for the buckets arranged on said horizontal straight path; a loading station for loading products in the buckets, arranged upstream from the weighing station; and a selective unloading station for products loaded in the buckets, arranged downstream from the weighing station; the machine being characterized in that the transport system moves the supports along a path that comprises at least one horizontal straight path, and in that - the buckets comprise first and second sliding means (10, 11), each one arranged on one side (4, 5) of the bucket and comprising a front support element (10a, 11a) and a rear support element (10b, 11b) that are offset vertically; and - the weighing station comprises a scale with first rail means and second rail means, between which the buckets in transit can pass through the weighing station when they adopt their weighing coupling position, sliding while being supported by their first and second sliding means (10, 11), like a bogie, on said first and second rail means (30, 31), respectively, each of the first and second rail means (30, 31) comprising two lanes or tracks (30a and 30b; 31a and 31b) which are vertically offset, corresponding to the offset between the support elements, such that as each bucket in slide mode passes through the weighing station, four points of the bucket will come into contact with the rail means, at least for an instant; and in that - the lanes or tracks (30a, 31a) on the scale that are intended to support the front support means (10a, 11a) of the buckets are pushed back in the advance direction of the buckets with respect to the lanes or tracks (30b, 31b) intended to support the rear support means (10b, 11b). - the buckets comprise first and second sliding means (10, 11), each one arranged on one side (4, 5) of the bucket and comprising a front support element (10a, 11a) and a rear support element (10b, 11b) that are offset vertically; and - the weighing station comprises a scale with first rail means and second rail means, between which the buckets in transit can pass through the weighing station when they adopt their weighing coupling position, sliding while being supported by their first and second sliding means (10, 11), like a bogie, on said first and second rail means (30, 31), respectively, each of the first and second rail means (30, 31) comprising two lanes or tracks (30a and 30b; 31a and 31b) which are vertically offset, corresponding to the offset between the support elements, such that as each bucket in slide mode passes through the weighing station, four points of the bucket will come into contact with the rail means, at least for an instant; and in that - the lanes or tracks (30a, 31a) on the scale that are intended to support the front support means (10a, 11a) of the buckets are pushed back in the advance direction of the buckets with respect to the lanes or tracks (30b, 31b) intended to support the rear support means (10b, 11b).