The next-generation (5G) cellular network is to provide a large variety of services for different kinds of terminals, from traditional voice and data services over mobile phones to small packet transmission over massive machine-type terminals for internet of things (IoT) applications. Although orthogonal frequency division multiplexing (OFDM) is widely used nowadays in many practical systems, it can hardly meet the requirements in the coming 5G networks because of some challenges such as high out of band emission and carrier frequency offset (CFO) sensitivity. Therefore, more flexible waveforms have been proposed to address the unprecedented challenges. Universal filtered multicarrier (UFMC) system is one of the 5G candidate systems. Although UFMC has less CFO sensitivity, but accurate estimation of channel response and (CFO) is of a great importance in any communication system. There is one hybrid CFO estimation algorithm for UFMC system, this algorithm has limited CFO estimation range and it is not suitable for uplink multicarrier scenario. Hence, we propose data-aided joint CFO and channel estimation algorithm for both multiuser uplink and downlink of the UFMC system without CFO dependency. We use new matrix based formulation to use UFMC system properties in our estimation algorithm. Simulation results show our algorithm has good performance near to cramer rao lower band. Proposed joint CFO and channel response algorithm has lower complexity by means of reduced number of search point for CFO integer part estimation. Key words: Multicarrier Communication systems, UFMC system, Frequency Offset, Estimation