Terahertz (THz) wireless communication has the capability to connect massive devices using its ultra-large spectrum resource. We propose a hybrid precoding scheme for the cluster-based multi-carrier beam division multiple access (MC-BDMA) to enable THz massive connections. Both the inter-beam interference and inter-band power leakage in this system are considered. A mathematical model is established to analyze and reduce their effects on the THz signal transmission. By considering the

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... ies of THz channels and characteristics of THz hardware components, we further propose a three-step hybrid precoding algorithm with low complexity, where the received signal power enhancement, the inter-beam interference elimination, and the inter-band power leakage suppression are conducted in succession. Simulation results are presented to demonstrate the high spectrum efficiency and high energy efficiency of our proposed algorithm, especially in the massive-connection scenarios.