This paper presents a Lagrangian model invariant under supergauge transformations, studied in the one-loop approximation. The model includes scalar, pseudoscalar, and spinor fields. Super-gauge invariance leads to relations between the masses and couplings of these fields and implies the existence of a conserved current. The renormalization procedure is discussed, and it is shown that the relations between masses and couplings are preserved by renormalization. The model is constructed from a free Lagrangian and two invariants. The auxiliary fields F and G are eliminated using their equations of motion, resulting in a simplified Lagrangian. The resulting Lagrangian is shown to be renormalizable even when the masses and couplings are not independent, and the relations between them are preserved by renormalization. The theory is less divergent when these relations are satisfied. The paper also discusses the renormalization of the model, showing that only a logarithmically divergent wave function renormalization is needed in the one-loop approximation. The renormalized mass is given by $ m_r = m Z $, where Z is the wave function renormalization factor. The corrections to the couplings and vertex corrections to the interactions are shown to cancel out, leading to finite results. No renormalization of the parameter g other than that due to wave function renormalization is needed. The conservation of the vector-spinor current is also discussed, and it is shown that the integral of the current is a conserved spinor charge. The paper suggests that further research should focus on higher order corrections and the construction of more complex models invariant under a combination of supergauge and internal symmetries.This paper presents a Lagrangian model invariant under supergauge transformations, studied in the one-loop approximation. The model includes scalar, pseudoscalar, and spinor fields. Super-gauge invariance leads to relations between the masses and couplings of these fields and implies the existence of a conserved current. The renormalization procedure is discussed, and it is shown that the relations between masses and couplings are preserved by renormalization. The model is constructed from a free Lagrangian and two invariants. The auxiliary fields F and G are eliminated using their equations of motion, resulting in a simplified Lagrangian. The resulting Lagrangian is shown to be renormalizable even when the masses and couplings are not independent, and the relations between them are preserved by renormalization. The theory is less divergent when these relations are satisfied. The paper also discusses the renormalization of the model, showing that only a logarithmically divergent wave function renormalization is needed in the one-loop approximation. The renormalized mass is given by $ m_r = m Z $, where Z is the wave function renormalization factor. The corrections to the couplings and vertex corrections to the interactions are shown to cancel out, leading to finite results. No renormalization of the parameter g other than that due to wave function renormalization is needed. The conservation of the vector-spinor current is also discussed, and it is shown that the integral of the current is a conserved spinor charge. The paper suggests that further research should focus on higher order corrections and the construction of more complex models invariant under a combination of supergauge and internal symmetries.