The article introduces a new test to check if nonparametric distributions are monotonic without needing smooth estimates of curves. This test works even when probability densities are not available, only requiring continuous marginal distributions. The test statistic is pivotal under the null and remains unchanged by any continuous transformation of the explanatory variable. It detects local alternatives approaching the null at a specific rate. The method can also be extended to include various parameters and explanatory variables. The test's performance was evaluated through a Monte Carlo experiment.