eng Science and Education Publishing Journal of Mathematical Sciences and Applications 2333-8792 2016-04-01 4 1 4 13 10.12691/jmsa-4-1-2 JMSA2016412 article Joseph Dongho josephdongho@yahoo.fr 1 Shuntah Roland Yotcha 1 University of Maroua, Cameroon In this article, we are going to introduce and study a new class of differential manifold, called logarithmic Poisson Manifold. We also introduced the notion of Logarithmic Poisson-Lichnerowicz cohomology and applied it to the study of prequantization of logarithmic-Poisson structures. http://pubs.sciepub.com/jmsa/4/1/2/jmsa-4-1-2.pdf logarithmic Poisson Manifold Logarithmic Poisson-Lichnerowicz cohomology prequantization logarithmic-Poisson structures