On one hand, high dynamic range (HDR) laser display can show high contrast ratio scenery that is close to the dynamic range of the human eye. Moreover, it can also improve the color gamut of the display. Consequently, it is an important development direction for next generation display technologies. This study proposes a novel architecture based on local dimming technology to achieve a high-brightness, high-efficiency, and low-cost HDR laser display. Using an optical fiber array, the laser source modules output an array light field to the spatial light modulator (SLM). When displaying an image, each laser will dynamically control its brightness based on the grayscale value of its corresponding image area, and the SLM will modulate the pixels based on the dynamic light field and the source image. Furthermore, this study presents a local dimming algorithm that can eliminate the chromatic aberration caused by the laser wavelength difference. The main principle is that the modulating value of each pixel on the SLM is calculated based on the color coordinates of a mixed three-primary illuminating light. This algorithm enables the display of HDR images without chromatic aberration.