Evaluation of time dependent settlement of foundations of structure assumes great importance when zone of influence due to new construction consists of cohesive material below water table. Estimation is generally made on the basis of consolidation test on undisturbed soil samples collected from such cohesive soil at the site. Collection of such sample is difficult, time consuming and costly and testing of such soil sample is also time consuming and costly. At any point of time only limited number of such test could be performed at a testing laboratory and only limited number of such test are generally done. Soils being erratic in nature, generally limited number of consolidation test may not be sufficient to provide information of consolidation characteristics in horizontal and vertical direction at the site. As a result efforts had been made to predict compression index from simple soil properties which could be done quickly at low cost and time from representative samples. More than fifty such correlations are available but such correlations do not predict values with reasonable accuracy. In this paper a correlation dependant on multi-number influencing factor is presented and the prediction from this method gives encouraging results when compared with experimental values of compression index.