Non Orthogonal Multiple Access (NOMA) has become one of the prospective candidates for upcoming 5 th generation Cellular network standard. Multicarrier NOMA (MC-NOMA) is a kind of hybrid NOMA, where, Orthogonal Frequency Division Multiple Access (OFDMA) may be employed to achieve higher capacity. However, MC-NOMA scheme based on OFDMA face the problem of higher Peak-to-Average Power Ratio (PAPR). The high PAPR reduces both energy and spectral efficiency of the MC-NOMA scheme. Therefore, in this paper, a new Finite Impulse Response (FIR) filtering based Zadoff-Chu Matrix Transform (ZCMT) precoded uplink MC-NOMA scheme is presented to reduce higher PAPR. MATLAB® simulations demonstrate that, the proposed filter based ZCMT precoded uplink MC-NOMA scheme outperform the ZCMT precoded uplink MC-NOMA schemes without filtering, uplink Single Carrier NOMA (SC-NOMA) schemes and conventional uplink MC-NOMA schemes available in the literature.