A curved backlight module comprises a light emitting module which is curved shape and a light conversion module which is curved shape and arranged in opposite to the light emitting components, where the light conversion module transform the light from the light emitting module into the parallel light. Also, a curved LCD device having the curved backlight module is disclosed. The uniform illustration of the curved LCD panel can be improved and the shadow region appeared in the two side of the curved LCD panel is eliminated for improving the display quality of the curved LCD panel.