High Efficiency Video Coding (HEVC) Screen Content Coding (SCC) is under standardizing for the screen-captured contents. Because many areas are composed of the texts and lines featuring non-smooth textures, the traditional intra prediction is not suitable for those areas. Therefore, this paper proposes a neighboring sample prediction coding (NSPC) for HEVC SCC, which represents the samples of the coding unit (CU) by the indexes of samples selected from the neighboring CUs. A unified sample selection scheme (USSS) based on a neighboring sample list is also proposed to determine the priority ordering of the selected neighboring samples. The index coding with a single sample index skipping method is also designed for coding the converted indexes. Different NSPC signaling methods are evaluated under the common test condition for HEVC SCC, and the results show that the NSPC improves the Bjontegaard-Delta bitrate saving of Screen Content Coding Test Model 2.0 up to 1.0%.