With the development of display technology, several new displays have attracted much attention such as OLED display, QLED display, Laser display and Mini/MicroLED display. Standard measurement methods for optical performance of flat display have been established. However, it's not easy for traditional luminance meter or colorimeter to deal with flexible display evaluation because of its viewing angle dependence which results in spectrum shift and color change. In this paper, we simulate color measurement accuracy by colorimeter and compare the results with spectrum measurement device. We analyze the influence of display's viewing angle and spectrum on the measurement accuracy. The measurement accuracy improves obviously with spectrum measurement device under different condition. In addition, we carry out spectrum and color measurement based on our imaging spectrometer which can measure multiple viewing angle at the same time. Compared with traditional spectrometer, the measurement efficiency is improved significantly without adjustment setting. The imaging spectrometer can be used for multiple viewing angle measurement and is suitable for optical performance measurement of flexible display.