The undrained shear strength (cu) is considered one of the most basic parameter characterizing soils in engineering practice. The particular importance of cu is in the case of clayey soil. This parameter also is the basis for the classifi cation of soil according to the ISO standard. The undrained shear strength usually is determined from unconfi ned compression test or from triaxial compression test. In the simple way it can be estimated from the fall cone penetrometer test as index parameter. In the presented work the results of unconfi ned compression tests for very stiff, heavily consolidated clay were shown. All analysed clay specimens were taken from the large depth, up to 303 m below terrain level. The tests results: undrained shear strength (cu) and unconfi ned compression strength (qu) were discussed in the relation on in situ consolidation stress, Atterberg’s limits and the indicatory test – fall cone test results.