Current studies rarely investigate the stress relaxation behaviour of soft soils. This paper proposes a practically useful coefficient with a formulation based on the behaviour of stress relaxation under onedimensional conditions. Firstly, the stress relaxation coefficient is proposed after summarising stress relaxation test results according to the linear relationship between the vertical stress and time in a double logarithmic plot. Secondly, from the newly developed rate-dependency based elastoviscoplastic formulations, an analytical solution for stress relaxation is derived. A unique relationship connecting the stress relaxation coefficient, the secondary compression coefficient and the ratedependency coefficient is then obtained. The applicability of the stress relaxation formulation with its key coefficient to determine time-dependent parameters is finally validated with published experimental results on reconstituted illite and Berthierville clay. Graham, 1989;Kutter & Sathialingam, 1992;Sheahan, 1995;Vermeer & Neher, 1999;Yin et al., 2010a;Wang & Yin, 2013 are conducted to evaluate the timedependent properties of soils. A few stress relaxation tests (e.g. Lacerda & Houston, 1973;Yin & Graham, 1989;Sheahan et al., 1994;Fodil et al., 1997;Kim & Leroueil, 2001;Yin & Hicher, 2008) have also been carried out and used to investigate the stress relaxation behaviour under different conditions. However, due to a lack of studies concerning the relationship between the key parameters of stress relaxation and strain-rate-dependency or creep parameters, the stress relaxation test is still not widely used to determine the timedependency related parameters of soft soils. This paper attempts to propose a stress relaxation coefficient with a formulation describing stress relaxation versus time, and investigates its relevance with the strainrate-dependency parameter and the secondary compression coefficient. First, studies on stress relaxation are briefly summarised and discussed. A new stress relaxation coefficient based on the stress relaxation oedometer test -one of the simplest tests for soils -is then proposed. By deriving a newly developed rate-dependency based formulation, a stress relaxation formulation is proposed and relationships connecting the stress relaxation coefficient, the secondary compression coefficient and the rate-dependency coefficient are obtained. Published experimental results on reconstituted illite and Berthierville clay are used to validate the proposed formulation and coefficient, and the relationships between different time-dependency parameters.