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A new constant rate of strain consolidation testing technique for very soft soils with water content of 200 to 300% is proposed as an alternative of the conventional oedometer test. For the analysis of data from the constant rate of strain (CRS) consolidation test, three kinds of diagrams are constructed based on the finite-difference solutions for the basic equation of consolidation, taking into account the effect of large strain. It is shown that the consolidation constants are conveniently determined by using these diagrams. The validity of this method is examined by analyzing the consolidation phenomena of a model fill using the consolidation constants thus determined. It is concluded that the consolidation constants of very soft clays can be accurately determined from the CRS consolidation test.