A weight sensing apparatus has a weight sensor provided with a load cell for producing an output signal indicative of the weight of an article, and a support for supporting the weight sensor. The apparatus includes oscillation sensing means provided in the vicinity of the load cell for producing an output signal indicative of an oscillation component caused by floor oscillation, a summing amplifier for adding the output signal from the load cell and a signal which is the inverse of the output signal from the oscillation sensing means, and signal processing means for processing the output of the summing amplifier to remove an oscillation component contained in the output signal from the load cell. The oscillation component is caused by oscillation received by the weight sensor from its surroundings.