A polarisation-division-multiplexing (PDM)-based four-level pulse amplitude modulation (PAM4) fibrefree-space optical (FSO) convergent system with optical band-pass filters (OBPFs) for polarisation de-multiplexing is feasibly demonstrated for the first time. In a PDM scenario with PAM4 modulation, the transmission capacity of fibre-FSO convergent systems is enhanced four times with an aggregate channel capacity of 128 Gb/s (64 Gb/s PAM4/polarisation × 2 polarisations). With an OBPF, polarisationtracking free de-multiplexing is attained by eliminating other optical carrier with orthogonal polarisation. An OBPF is a simple polarisation de-multiplexing scheme in which the polarisationorthogonal carrier can be effectively de-multiplexed and the cross-polarisation interference can be nearly eliminated. Compared with traditional PDM-based fibre-FSO convergent systems with sophisticated polarisation-tracking mechanism and elaborate digital signal processing (DSP) approach, it reveals a noteworthy one with the advantage of simplicity. Through 25 km single-mode fibre transport and 500 m FSO link, sufficiently low bit error rate and qualified PAM4 eye diagrams are attained. This proposed polarisation-tracking free PDM-based fibre-FSO convergent system is notable because it not only incorporates the fibre backbone and optical wireless feeder, but it also simplifies the framework since complicated polarisation-tracking mechanism and DSP approach are not involved. In the past few years, fibre-free-space optical (FSO) convergent systems have attracted considerable attention to connect fibre backbone and optical wireless feeder networks. Fibre-FSO convergence can make use of the traits of optical fibre and optical wireless communications, such as the naturally significant bandwidth of optical fibre and the unlicensed electromagnetic spectrum of optical wireless communication 1,2. To incorporate the huge bandwidth of fibre backbone and the flexibility of optical wireless feeder, fibre-FSO convergent systems present a powerful scenario for providing present and emerging technologies, such as the broadband Internet, virtual/ augmented reality, 4 K/8 K video streaming, and 5 G/Pre-6G mobile communications 3-7. Compared with previous communication systems, fibre-FSO convergent systems can provide not only high transmission capacity but also satisfactory mobility. Data center interconnect traffic is growing rapidly, along with the increasing popularity of Internet and mobile telecommunication applications. Such exponential growth of data-transmission loading has pushed the requirements for high transmission capacity. A polarisation-division-multiplexing (PDM) scenario has been explored to provide high transmission capacity 8-10. In the PDM scenario, the transmission capacity of fibre-FSO convergent systems can be improved. Moreover, to further enhance the transmission capacity, four-level pulse amplitude modulation (PAM4) rather than none-return-to-zero (NRZ) modulation is adopted, provided that PAM4 modulation is an efficient approa...