There are obvious moiré fringes and crosstalk in the stereo images of a naked-eye 3D light-emitting diode (LED) display based on a conventional vertical parallax barrier and a slant parallax barrier, respectively. To solve these problems, we present a naked-eye 3D LED display based on a parallax barrier with weak moiré fringes. The naked-eye 3D LED display comprises an LED display and a malposed parallax barrier with discrepant slit widths. The proposed parallax barrier can match the LED displays that have a wide black matrix. We properly enlarge the width of the slits and slightly move the slits in their periods. This method can increase the difference between the periodic structures of the parallax barrier and the pixels of the LED display, which reduces the contrast ratio of the moiré fringes and causes them to appear sparsely. In this way, the weakened moiré fringes are not obvious and the crosstalk of the stereo images does not noticeably increase. We develop a prototype of the proposed naked-eye 3D LED display based on the parallax barrier. The prototype had the weakened moiré fringes, and its crosstalk is insignificant. Thus, the validity of our theory is confirmed.