We will introduce a new family of multivariate distributions, so called the multivariate proportional hazard rate family of distributions and study its properties. We derive multivariate dependence properties based on a survival function and based on a survival copula function. Multivariate dependence properties based on a survival function are given by multivariate total positivity of order 2, right corner set increasing, smaller in lower orthant order and right tail increasing. The survival copula function is used to model this family of multivariate distributions. We illustrate capability of the introduced model on a real data set related to the level of thyroid hormone..