Reinforced concrete multi-storeyed buildings in India, for the first time, have been subjected to a strong ground motion shaking during Bhuj earthquake of January 26, 2001. A number of such buildings have been damaged in this earthquake. A team of Department of Earthquake Engineering, IITR, Roorkee conducted the damage survey of buildings. It has been observed that the principal reasons of failure are due to soft storeys, floating columns, mass irregularities, poor quality of construction material and faulty construction practices, inconsistent earthquake response, soil and foundation effect, and pounding of adjacent structures. This paper presents description of types of construction, types of damage, causes of damage in selected multi-storeyed reinforced concrete buildings, and lessons learnt from the failure. Dynamic analysis of a damaged building on floating columns and an instrumented undamaged building at Ahmedabad has been carried out. Modifications needed in the design practices to minimize earthquake damages have also been proposed.