Consolidation parameters such as volume compressibility, mv, and permeability, k, of very soft slurry clay are difficult to obtain from a conventional oedometer test. A selfweight consolidation test in a centrifuge is available as an alternative test. The mv value is calculated from the f-log p relationship which is obtained from a correlation between volume ratio f and effective overburden pressure along the specimen depth after self-weight consolidation, and k is obtained from the initial settlement rate of a singly drained selfweight consolidation test. Some examples of determination of these parameters are shown for four highly plastic clays. The effect of particle segregation on these parameters in a high centrifugal acceleration field is also discussed.