In this paper, we study the following stochastic wave equation on the real line $\partial_t^2 u_α=\partial_x^2 u_α+b\left(u_α\right)+σ\left(u_α\right)η_α$. The noise $η_α$ is white in time and colored in space with a covariance structure $\mathbb{E}[η_α(t,x)η_α(s,y)]=δ(t-s)f_α(x-y)$ where $f_α$ is continuous with respect to $α$ in Fourier mode, see Assumption 1.2. We prove the continuity of the probability measure induced by the solution $u_α$, in terms of $α$, with respect to the convergence in law in the topology of continuous functions with uniform metric on compact sets. We also give several examples of $f_α$ such that our theorem applies to.