In this Letter, we fabricate integrated metasurface of encoded dynamic phases and experimentally generate nonconventional Kagome-type lattices of no-second-order phase vortices. The thin metasurface acts analogous to an integration of three conventional optical elements, i.e., six pinholes located at the vertices of two concentric regular triangles of size ratio 1:2, six transparent discs of different thicknesses to introduce a total phase shift difference of 6π, and a Fourier lens with a focal length in the micro-scale. A Kagome lattice with the required vortex distribution is realized at the “focal” plane of the metasurface under illumination of the plane wave.