Near-infrared (NIR) and mid-infrared (MIR) photodetectors have wide applications in biometrics, military, industry, etc. NIR and MIR organic photodetectors (OPD) require narrow-bandgap semiconductors to achieve efficient light absorption. However, it is still a challenge to synthesize organic materials with efficient absorption region above 1000 nm. Herein, a flexible hybrid OPD has been designed and fabricated by integrating organic materials with three-dimensional graphene (3DG) film, and the photodetector can detect light from visible to MIR at room temperature with an outstanding responsivity of 108 A W-1 in the NIR region (1000 nm). Moreover, the hybrid device can detect picowatt-level light with ultrahigh responsivity of 5.8 x 10(15) A W-1 and specific detectivity of 3 x 10(15) Jones in the visible region. Furthermore, the 3DG film/organic hybrid detector is well compatible with flexible substrates and opens up a novel approach to developing flexible photodetectors with high responsivity in a wide spectrum range, suggesting possible potential applications in flexible electronics.