Novel types of antenna arrays constructed from combination of linear and elliptical antenna arrays are presented. These types are called elliptical, concentric elliptical, elliptical cylindrical and elliptical coaxial cylindrical arrays where only the array factors are considered. The effect of the element factor can be considered separately and combined to the array factor. The expression for the array factor of elliptical array has been obtained. Then, array factors of other three types are derived by the combination of linear and elliptical array properties. Their directivities and sidelobe levels are simulated in various current distributions. The effect of ellipse eccentricity, element spacing and number of elements are calculated and compared with those parameters.