3D point clouds are widely considered for applications in different fields. Various methods have been proposed to generate point cloud data: LIDAR and image matching from static and mobile platforms, including, e.g., Terrestrial Laser S canning (TLS ). With multiple point clouds from stationary platforms, point cloud registration is a crucial and fundamental issue. A standard approach is a point-based registration, which relies on pairs of corresponding points in twopoint clouds. Therefore, a necessary step in point-based registration is the construction of 3D local descriptors. One of the (many) challenges that will specifically affect the performance of local descriptors with local spatial information is the point displacement error. This error is caused by the difference in the distributions of points surrounding a (potentially) corresponding center point in the two-point clouds. It can occur for various reasons such as i) distortions caused by the sensors recording the data, ii) moving objects, iii) varying density of point cloud, iv) change of viewing angle, and v) different of the sensors. The purpose of this article is to develop a new 3D local descriptor reducing the effect of this type of error in point cloud coarse registration. The approach includes an improved Local Reference Frame (LRF) and a new geometric arrangement in point cloud space for the 3D local descriptor. Inspired by the 2D DAIS Y descriptor, a geometric arrangement is created to reduce the effect of the point displacement error. in addi tion, directional histograms are considered as features. Investigations are performed for point clouds from challenging environments, which are publicly available. The results of this study show the high performance of the proposed approach for point cloud registration, especially in more challenging and noisy environments.