A system for recognising the position and orientation of an object in a training range, which consists of: - at least two statically positioned positional fields of point sources of electromagnetic waves of the specific band B wavelength, each of said positional fields consisting of at least four point sources of electromagnetic waves arranged within the each of the positional fields in a non-coplanar way, wherein said positional fields have the same arrangement of point sources of EM waves in directions x, y and z of a local positional field's coordinate system; - additional positional fields placed within the positional fields, wherein to each positional field one additional positional field belongs and wherein each of said additional positional fields is implemented as a series of point sources of EM waves on the same line in planes x and y of the local positional field's coordinate system, wherein the line of point sources of EM waves in each positional field is at a unique angle φ with regard to the vertical in plains x and y of the local coordinate system; - at least one camera, which is mounted on a moving object and which can detect electromagnetic waves in the band B wavelength, - at least one computer system, which is connected to the camera and includes - a software module of the training range's coordinate system with pre-entered data on the dimensions of the training ground, the positions of the positional fields, the positions of the point sources of the EM waves within the positional fields, the positions of the additional positional fields and the positions of the additional point sources of EM waves in each additional positional field; - a software module for calculating the position and orientation of an object in the coordinate system of the training range, based on the distances and angles between the point sources (8, 10) of EM waves in the positional fields and additional positional fields using the two-dimensional image captured by the camera and pre-entered data on the position of the positional fields, additional positional fields and on the positions of the point sources (8, 10) of EM waves within every positional field and additional positional fields. - at least two statically positioned positional fields of point sources of electromagnetic waves of the specific band B wavelength, each of said positional fields consisting of at least four point sources of electromagnetic waves arranged within the each of the positional fields in a non-coplanar way, wherein said positional fields have the same arrangement of point sources of EM waves in directions x, y and z of a local positional field's coordinate system; - additional positional fields placed within the positional fields, wherein to each positional field one additional positional field belongs and wherein each of said additional positional fields is implemented as a series of point sources of EM waves on the same line in planes x and y of the local positional field's coordinate system, wherein the line of point sources of EM waves in each positional field is at a unique angle φ with regard to the vertical in plains x and y of the local coordinate system; - at least one camera, which is mounted on a moving object and which can detect electromagnetic waves in the band B wavelength, - at least one computer system, which is connected to the camera and includes - a software module of the training range's coordinate system with pre-entered data on the dimensions of the training ground, the positions of the positional fields, the positions of the point sources of the EM waves within the positional fields, the positions of the additional positional fields and the positions of the additional point sources of EM waves in each additional positional field; - a software module for calculating the position and orientation of an object in the coordinate system of the training range, based on the distances and angles between the point sources (8, 10) of EM waves in the positional fields and additional positional fields using the two-dimensional image captured by the camera and pre-entered data on the position of the positional fields, additional positional fields and on the positions of the point sources (8, 10) of EM waves within every positional field and additional positional fields. - a software module of the training range's coordinate system with pre-entered data on the dimensions of the training ground, the positions of the positional fields, the positions of the point sources of the EM waves within the positional fields, the positions of the additional positional fields and the positions of the additional point sources of EM waves in each additional positional field; - a software module for calculating the position and orientation of an object in the coordinate system of the training range, based on the distances and angles between the point sources (8, 10) of EM waves in the positional fields and additional positional fields using the two-dimensional image captured by the camera and pre-entered data on the position of the positional fields, additional positional fields and on the positions of the point sources (8, 10) of EM waves within every positional field and additional positional fields.