Genuine multipartite entanglement represents a crucial quantum resource in quantum information processing, and its effective quantification plays a vital role in revealing the nonlocal structure and quantum correlations of multipartite systems. In this paper, we first propose an intuitive measure of genuine multipartite entanglement based on the parameterized total concurrence put forward by Xuan et al. (2025), denoted simply as \(E_{\text {t-c}}^{\text {gme}}\) . Through rigorous derivation, we prove that the proposed measure satisfies all fundamental axioms required for a legitimate entanglement measure. Second, we derive an analytical lower bound of \(E_{\text {t-c}}^{\text {gme}}\) and establish its connection with the genuine multipartite entanglement measure proposed by Ma et al. (2011), which is abbreviated as \(C_{\text {gme}}\) . Finally, we present concrete examples to validate the capability of \(E_{\text {t-c}}^{\text {gme}}\) in quantifying genuine multipartite entanglement for arbitrary N-qubit states. Furthermore, taking three-qubit states as typical instances, we conduct a comparative analysis between \(E_{\text {t-c}}^{\text {gme}}\) and \(C_{\text {gme}}\) . The numerical and analytical results show that our measure is capable of detecting a broader set of genuine multipartite entangled states.
