Abstarct: There are a few examples of uniformly starlike (convex) analytic functions and fully-starlike (fully-convex) harmonic functions‎, ‎although we pose some examples in new class‎, ‎uniformly starlike (convex) harmonic functions‎, ‎any way the functions in new classes are rare and worthy as well‎. ‎Furthermore we give necessary and sufficient conditions for a function to be in these classes‎. ‎We mention recently works in this area‎. ‎The convolution or Hadamard product is a additional tool in univalent functions classes investigation‎. ‎Previous results with convolution showed that this is a effective tool with powerful ability in univalent functions classes and with harmonic function‎, ‎like generalizations of previous subclasses‎, ‎convolution on harmonic classes like starlike‎, ‎convex and close-to-convex families and so on‎. ‎Recent works which have done by some authors in last decade‎, ‎show ability and power of this method‎. ‎We use convolution to obtain our results in new classes‎. ‎At last we discuss about bi-univalent functions as a subclass of S ‎, ‎more recently El-Ashwah introduced two subclasses of bi-univalent function class ∑ and obtained non-sharp estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| of functions in each of these subclasses‎. ‎We generalize her classes to new class of bi-univalent function with a convolution form and find the coefficients |a2| and |a3| of new class‎. ‎In brief‎, • ‎The work is devoted to the study of certain subclasses of analytic and harmonic univalent complex functions in the unit disk D ‎. • ‎Certain classes of univalent starlike and convex functions are introduced‎. • ‎These analytic and harmonic classes provide a unified treatment to new subclasses‎. • ‎Main results are derived from Inclusion and convolution properties on new subclasses‎. • ‎New bi-univalent subclass is introduced and initial coefficients bound are derived using Caratheodory lemma and subordination‎.