Summary: Let \({\mathbb{D}}\) be the unit disc in the complex plane. Given a positive finite Borel measure \(\mu\) on the radius \([0, 1)\), we denote the \(n\)-th moment of \(\mu\) as \(\mu_n\), that is, \(\mu_n=\int_{[0,1)}t^n \,\mathrm{d}\mu (t)\). The Cesàro-like operator \({\mathcal{C}}_{\mu,s}\) is defined on \(H({\mathbb{D}})\) as follows. If \(f(z)=\sum_{n=0}^{\infty}a_nz^n \in H({\mathbb{D}})\), then \({\mathcal{C}}_{\mu,s}(f)\) is defined by \[ \begin{aligned} {\mathcal{C}}_{\mu,s}(f)(z)=\sum_{n=0}^{\infty}\left(\mu_n \sum_{k=0}^n\frac{\Gamma (n-k+s)}{\Gamma (s)(n-k)!}a_k\right) z^n, z\in{\mathbb{D}}. \end{aligned} \] In this paper, our focus is on the action of the Cesàro-type operator \({\mathcal{C}}_{\mu,s}\) on spaces of analytic functions in \({\mathbb{D}}\). We characterize the boundedness (compactness) of the Cesàro-like operator \({\mathcal{C}}_{\mu,s}\), acting between the Bloch space \({\mathcal{B}}\) and the Bergman space \(A^p \).