The person localization by ultra-wideband (UWB) sensors is a challenging field attracting researchers worldwide. Whereas the issue of the person localization in 2dimensional space (2D) has been discussed in many articles, only a few papers have been devoted to the people localization in 3-dimensional space (3D). Combining two 3D localization methods a new approach to the person localization in 3D can be obtained to fill this gap. The new 3D localization method introduced in this paper is referred to as the Taylor series based localization method (TSM). This method combines the 3D-2D method of object localization in 3D with the conventional method of Taylor series. The performance properties of the introduced TSM will be illustrated via the experimental scenario intent on the through-the-wall localization of a moving person by a multistatic UWB radar system. D. Kocur et al. Determining the Positions of the Moving Persons in 3D Space by UWB Sensors -46 -fine range resolution based on time-of-arrival (TOA) measurement [3], UWB sensors can provide object localization with high accuracy as well. Moreover, signals transmitted by UWB radars are extremely low-power. As results, they produce only low-level interference of narrowband communication infrastructure and thus they can more easily coexist with such communication systems. These and further unique properties of UWB sensors (comprehensively summarized, e.g. in [1]) have been the impetus in the last years for relatively extensive development of applications of UWB localization systems. Rescue and security operations, critical infrastructures monitoring [1], [4], [5], [6], senior monitoring within their dwellings [7], [8], baby monitoring (e.g. detection of sudden death syndrome), etc. are just a few examples of such applications. Moreover, due to the development of communication and sensor networks, smart-home, smart-cities, Internet of Things and low-cost UWB sensor systems, it is expected the growth of requests for contactless monitoring of people in the near future. Motivated by these findings we have focused our research on moving people monitoring (e.g. [9], [10], [11], [12], etc.) by means of UWB radars. In this area, great attention has been devoted to the localization of persons through a vertical wall in 2-dimensional (2D) and 3-dimensional space (3D) (e.g. [1], [13]) as well as through-the-floor localization of persons in 3D [10] or to the localization of persons situated behind a corner [14].