The calibration process for a line-scan camera is typically complicated, often requiring external auxiliary devices. This paper proposes a static calibration method for line-scan cameras built in 2D space to address this problem. First, from the application point of view, the line-scan camera imaging model in 3D space is adapted to derive an equivalent model in 2D space, and a new line-scan camera calibration plate is designed. Next, the line-scan camera imaging model in 2D space is solved using the principle of the invariance of the cross-ratio. Finally, an aberration correction fitting strategy is proposed, using the amount of aberration change to overcome excessive aberration correction errors, which can occur when trying to correct small aberrations. The aberration correction fitting strategy is effective, achieving a good aberration correction effect. The proposed static calibration method for line-scan cameras in 2D space is simple, is not limited by the field environment, and has a high calibration accuracy. The proposed calibration method has a mean absolute error of 0.06 mm (equivalent to ~ 1.5 pixels) and a maximum stable error standard variance of 0.068. As a result, the proposed calibration method meets the application requirements for low and medium calibration accuracy, and is extremely promising for practical applications.