For a complex measure ${mu}$ on B and $f{in}L^2_a(B)$, the Toeplitz operator $T_{mu}$ on $L^2_a(B,dv)$ with symbol ${mu}$ is formally defined by $T_{mu}(f)(w)=int_{B}f(w)ar{K(z,w)}d{mu}(w)$. We will investigate properties of the Toeplitz operator $T_{mu}$ with symbol ${mu}$. We define the Toeplitz type operator $T^r_{psi}$ with symbol ${psi}$, $$T^r_{psi}f(z)=c_rint_{B}frac{(1-{parallel}w{parallel}^2)^r}{(1-{langle}z,w{ angle})^{n+r+1}}{psi}(w)f(w)d{ u}(w)$$. We will also investigate properties of the Toeplitz type operator with symbol ${psi}$.