In this study the main endeavor is to generate an Archimedean copulas (AC) family via hyperbolic function. With using function, a new generator of Archimedean family will be defined. Scatterplots, contour diagrams and also surface of the generated new Archimedean family will be shown for several values of its parameter.Keywords: Archimedean Copulas, Generator, Hyperbolic functions, Kendall's tau.