We demonstrate broadband Fourier‐transform coherent anti‐Stokes Raman scattering (FT‐CARS) spectral microscopy with a pixel dwell time of 42 μs, which is ~50 times shorter than the shortest‐to‐date pixel dwell time for CARS spectral microscopy. Our broadband FT‐CARS spectral microscope is composed of an FT‐CARS spectrometer, a rapid galvanometric scanner, and a high‐speed image acquisition circuit, enabling a frame rate of 2.4 fps with a pixel resolution of 100 × 100 pixels, a bandwidth of 600–1,200 cm−1, a spatial resolution of 0.95 μm, and a spectral resolution of 37 cm−1. As a proof‐of‐principle demonstration, we used the high‐speed FT‐CARS spectral microscope to perform CARS imaging of polymer beads and Haematococcus lacustris cells. Our high‐speed broadband CARS spectral microscope holds promise for studying rapid cellular dynamics, such as signaling, cell‐to‐cell communication, and molecular transport in a label‐free manner.