We show here that, in the context of Einstein's static universe (ESU), the static cosmological constant Lambda(s) = 0. We do so by extending (and not contradicting) the ESU relationship from Lambda s = 4 pi rho to Lambda(s) = 4 pi rho = 0, where rho is the ESU matter density (G = c = 1). This extension follows from the fact that the elements of the spacetime geometry depend on pressure and energy density (.). Note in the Lambda CDM model,. is associated with "Dark Energy (DE)." And, if. would be considered as a fundamental constant, it should be zero even for a dynamic universe. In such a case, the observed accelerated expansion could be an artifact of inhomogeneity [D. L. Wiltshire, Phys. Rev. D 80 (2009) 123512; E. W. Kolb, Class. Quantum. Grav. 28 (2011) 164009] or large peculiar acceleration of the Milky way [C. Tasgas, Phys. Rev. D 84 (2011) 063503] or extinction of light of distant supernovae [R. E. Schild and M. Dekker, Astron. Nachr. 327 (2006) 729, arXiv:astro-ph/0512236]. The same conclusion has also been obtained in an independent manner [A. Mitra, JCAP 03 (2013) 007, doi: 10.1088/1475-7516/2013/03/007].