Kostyrko et al. initiated the concept of ideal convergence in [P. Kostyrko, T. Šalát, W. Wilczyński, Real Anal. Exchange, \(\bf 26\) (2000), 669--686]. The purpose of this paper is to introduce and define spaces of the neutrosophic convergent sequence via ideal, namely \(^{I}\mathcal{S}_{\mathcal{M}}\) and \(^{I}\mathcal{S}_{\mathcal{M}_{0}}\). We prove that new spaces are linear and Hausdorff topological spaces. Further, we examine the relation between \(I\)-Cauchy and \(I\)-convergent sequences and show that every separable space \(^{I}\mathcal{S}_{\mathcal{M}}\) is second countable. Moreover, we prove that the space \(^{I}\mathcal{S}_{\mathcal{M}}\) is complete.