This scientific article describes the research results of the national scientific and technological project “Estimative research of a standard surfaces of the sea level (“zero” depth, mean, and highest sea surfaces) by the methods of geodesy, oceanography and modern tectonics serving the construction of works and planning the coast of Vietnam in trend of climate changes” with the code KC09.19/11-15 related to the construction of the preliminary national quasigeoid model VIGAC2014 that creates the basis for the determination of national heights of the mean sea surface, highest sea surface, lowest sea surface at the tide gauges located on off-shore islands with the purpose of bulding the mean sea surface, highest sea surface, lowest sea surface models on the territorial waters of Vietnam. Additionally, this paper introduces methods and results of constructing the mean sea surface model MDTVN, highest sea surface model HSS2015, lowest sea surface model LSS2015 on the territorial waters of Vietnam.