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In this paper, a novel hyperchaotic system is designed for generating continuous and digital PN (pseudo-noise) sequences. In the design of this hyperchaotic system, its parameters are selected according to the requirements of chaos and hyperchaos. In the generation of continuous PN sequences, an analog circuit is designed and realized. The circuit parameters are determined by theoretical expressions, which are derived via the normalized dimensionless circuit equations. Furthermore, FPGA (Field Programmable Gate Array) technology is used to implement the continuous system in digital form by the FPGA chip, which can output direct digital sequences and continuous sequences via a D/A convertor. The generated continuous and digital sequences from analog circuit and FPGA device are respectively observed in our experimental setup.