1. INTRODUCTION Any theoretical scheme of gravity must address a variety of conceptual issues including the problem of time and identification of dynamical observables [1], [2], [3], [4], [5], [6], [7], [8], [9], [10]. Studying cosmological models instead of general relativity helps us to overcome the problems related to the infinite number of degrees of freedom in the theory and pay more attention to the issues arising from the time reparametrization invariance of the theory; such as the identification of a dynamical time and also construction of observables for the theory [11], [12], [13], [14]. In particular, Bianchi IX cosmological model is an interesting candidate to test the possible solutions of the above problems [15], [16], [17]. The problem of time is the most known difficulty of the Wheeler-DeWitt (WDW) quan- tum geometrodynamics which is a theoretical basis for modern quantum cosmology [18], [19]. Time in quantum mechanics and general relativity are drastically different from each other; in quantum mechanics time is a global and absolute parameter, in general relativity a local and dynamical variable [20]. As a result, the wave function in quantum formulation is time independent, i.e., the universe has a static picture. A common candidate for a dynamical time in classical and quantum model is a massless scalar field coupled to gravity [15], [14], [21]. In this work we apply this to Bianchi IX cosmological model and investigate its classical and quantum implementation. Due to the presence of the minimally coupled scalar field term in the formulation, we show that the dynamics of the metric functions can be obtained using a time variable, as a function of the scalar field. The article is organized as follows: In section two the Hamiltonian formulation of Bianchi IX model coupled to a massless scalar field is studied, with particular attention to the closed FRW model. In section three the canonical quantization of the model is presented and the wave function of the universe is discussed. Again special attention is given to the quantum FRW cosmological solutions with closed curvature. Section four presents conclusion drawn from this work. 2