I. INTRODUCTION Contents I. Introduction 2 II. The average density of W-matter is equal to that of F-matter 3 III. The sorts and average density of dark matter 5 IV. The interaction of F-scalar fields and W-scalar fields 6 V. Features and observation of dark matter in present model 7 VI. Conclusions 9 References 10 Mirror matter as dark matter has been presented $^{[1]}$. In order that the model is consistent with the standard cosmological framework, the model ascribes the macroscopic asymmetry of the universe to asymmetric initial conditions of matter and mirror matter $^{[2]}$. However, when temperature is high enough, the expectation values of all Higgs fields are zero so that the static masses of all particles are zero, and all particles can transform from one into other. Consequently the energy densities of two sorts of matter must be equal if both are symmetric so that their degrees of freedom are equal to each other. Thus the asymmetric initial conditions make one to be uncomfortable. A quantum field theory without divergence has been constructed which can obtain all results of the given quantum field theory and in which there is no divergence of loop- corrections and the energy of the vacuum must be zero without normal product $^{[3]}$. There must be two sorts of matter in this quantum field theory. The two sorts of matter are called F − matter and W − matter , respectively. F − matter and W − matter are symmetric, and there are only gravitation and very weak interaction by Higgs bosons in low energy between both. F − matter forms the given world and W − matter is dark matter for a F − observer $^{[4]}$. This model of dark matter is equivalent to the model of mirror matter as dark matter. A cosmological model without singularity has been constructed $^{[5]}$. The model can well 2