In the Near East occur a giant number of archaeological objects of various age, origin and size. The most territory of the Near East relates to arid and semi-arid regions that unambiguously physically and chemically complicates the upper part of archaeological sequence. Geodynamical active, multi-layered, and geologically variable surrounding media in many cases damages ancient objects and disturbs their physical properties. This calls to application different geophysical methods armed by the modern interpretation technology. Potential geophysical fields (magnetic, gravity, resistivity, self-potential and thermal) are non-expensive, rapid and effective tools for investigation of the most part of archaeological remains. It is confirmed by a review of successful potential field application at the different archaeological sites in the Near East countries. In the magnetic prospecting an advanced system of archaeomagnetic data processing and interpretation has been developed for complex physical-environmental conditions. The main elements of the developed system have been successfully transferred to other potential geophysical fields. Several examples illustrate effective application of potential geophysical methods over some typical archaeological remains.