In this paper, we investigate the following nonlinear Schrödinger equation: \(\begin{aligned} {\left\{ \begin{array}{ll} -\varDelta u=h(x)|u|^{p-2}u+|u|^{q-2}u+\lambda u , \quad & \text{ in } \mathbb {R}^{N},\\ \int \limits _{{\mathbb {R}^{N} }} {\left| u \right| ^{2} ~{\text {d}}x = a,} & \ u \in H^1(\mathbb {R}^{N}), \end{array}\right. } \end{aligned}\) where \( N\ge 3\) , \( a>0 \) , \( p\in (1,2) \) , \( q\in (2+\frac{4}{N},2^{*}),\) and \(\lambda \in \mathbb {R}\) arises as a Lagrange multiplier. Under some mild assumptions about h and a, we employ the truncation technique to obtain two families of infinitely many critical points, namely \(\{u_k\}_{k=1}^{\infty }\) at negative energy levels (with their energies tending to zero) and \(\{v_k\}_{k=1}^{\infty }\) at positive energy levels (whose energies tend to infinity).
