We introduce a novel near-quantum-limited amplifier with a large tunable bandwidth and high dynamic range -the Josephson Array Mode Parametric Amplifier (JAMPA). The signal and idler modes involved in the amplification process are realized by the array modes of a chain of 1000 flux tunable, Josephson-junction-based, nonlinear elements. The frequency spacing between array modes is comparable to the flux tunability of the modes, ensuring that any desired frequency can be occupied by a resonant mode, which can further be pumped to produce high gain. We experimentally demonstrate that the device can be operated as a nearly quantum-limited parametric amplifier with 20 dB of gain at almost any frequency within (4−12) GHz band. On average, it has a 3 dB bandwidth of 11 MHz and input 1 dB compression power of −108 dBm, which can go as high as −93 dBm. We envision the application of such a device to the time-and frequency-multiplexed readout of multiple qubits, as well as to the generation of continuous-variable cluster states.