The logistic distribution closely resembles the normal one. Both are symmetrical. Here two logistic bivariate distributions are studied. In both cases the curves of equal probability density are not ellipses, the regression curves are not linear and the conditional expectations are limited. The first distribution analyzed with the help of the bivariate moment generating function is asymmetrical and therefore departs considerably from the normal one. The coefficient of correlation is constant and equal to one half. The second bivariate logistic distribution is symmetrical. The regression curves are linear in probability scale and the coefficient of correlation varies in the interval ± .30396.