Summary: Let \(E\) and \(F\) be spaces of real- or complex-valued functions defined on a set \(X\). A real- or complex-valued function \(g\) defined on \(X\) is called a pointwise multiplier from \(E\) to \(F\) if the pointwise product \(fg\) belongs to \(F\) for each \(f\in E\). We denote by \(\text{PWM}(E,F)\) the set of all pointwise multipliers from \(E\) to \(F\). Let \(X\) be a space of homogeneous type in the sense of Coifman-Weiss. For \(1\leq p0} {1\over\phi(a,r)} \Biggl({1\over\mu(B(a,r))} \int_{B(a,r)}|f(x)- f_{B(a,r)}|^pd\mu\Biggr)^{1/p}<\infty, \] where \(B(a,r)\) is the ball centered at \(a\) and of radius \(r\), and \(f_{B(a,r)}\) is the integral mean of \(f\) on \(B(a,r)\). Let \(\text{bmo}_\phi(X)= \text{bmo}_{\phi,1}(X)\) and \(\text{bmo}(X)= \text{bmo}_{1,1}(X)\). In this paper, we characterize \(\text{PMW}(\text{bmo}_{\phi_1,p_1}(X),\text{bmo}_{\phi_2,p_2}(X))\). The following are examples of our results: \[ \begin{aligned} \text{PMW}(\text{bmo}_{(\log(1/r))^{-\alpha}}(\mathbb{T}^n), \text{bmo}_{(\log(1/r))^{-\beta}}(\mathbb{T}^n)) &= \text{bmo}_{(\log(1/r))^{\alpha-\beta-1}}(\mathbb{T}^n),\quad 0\leq \beta<\alpha<1,\\ \text{PMW}(\text{bmo}_{(\log(1/r))^{-1}}(\mathbb{T}^n),\text{bmo}(\mathbb{T}^n)) &= \text{bmo}_{(\log\log(1/r))^{-1}}(\mathbb{T}^n),\\ \text{PMW}(\text{bmo}(\mathbb{R}^n), \text{bmo}_{\log(|a|+r+1/r),p}(\mathbb{R}^n)) &= \text{bmo}(\mathbb{R}^n),\quad 1