Summary: Invariant submanifolds of an almost complex manifold \(M^{2n}\) have been studied by K. Yano and J. A. Schouten [Indiana Math. J. 17, 261–267 (1968)]. K. Yano and S. Ishihara [Kodai Math. Sem. Rep. 21, 350–367 (1969; Zbl 0197.18403)] also studied invariant submanifolds of almost contact manifold. The purpose of the present paper is to study the invariant submanifolds of \(f_\lambda(2\nu+3,1)\)-structure manifold. Some interesting results have been stated and proved in this paper.