We give some characterizations of $sn$-metrizable spaces. We prove that a space is an $sn$-metrizable space if and only if it has a locally-finite point-star $sn$-network. As an application of the result, a space is an $sn$-metrizable space if and only if it is a sequentially quotient, $\pi$ (compact), $\sigma$-image of a metric space.