Developers of metamaterial-based devices in our dais face a serious problem-they can guess the properties of metamaterial itself only by analyzing the overall parameters of the complete device. As such constructions are periodical metal-dielectric structures, the standard methods of their permittivity and permeability measurement cannot be implemented. In this paper a methodology of metamaterial effective permittivity and permeability determination, based on their complex reflecting and transmitting coefficient measurement, is suggested. The base of the presented algorithm is evaluations, shown here, which determine the dependence of dielectric parameters of the sample under test on its measured S-parameters. For practical measurement some constructions of measuring tools, which allow metamaterial parameter determination in case of using longitudinal electromagnetic wave with vertical and horizontal polarization of electric field and normally incident wave, are suggested. A form of realization and a band, in which measurements can be provided, are presented for each type of measuring tools. An advantage of all constructions is that they are closed structures and do not feel the influence of surroundings. The schema of connecting the measuring tools to a vector network analyzer is detail reviewed. A question of measuring schema element influence on the accuracy of parameter determination is discussed separately. As the constructions of measuring tools do not allow direct measuring device calibration, a method of compensation of their influence on the measured parameters accuracy, based on the mathematical processing of the obtained data, is suggested. Practical results of metamaterial sample effective permittivity and permeability determination, made using the described algorithm and two different measuring tools, are shown. The made experiment has shown a good correlation of the obtained data between each other and with the computed parameters of the sample. So the paper presents the detailed description of the methodology of metamaterial effective permittivity and permeability determination, with the help of measuring their complex reflecting and transmitting coefficient, some measuring tool constructions are suggested, which allow practical measurements, measuring circuit calibration methods are described. The presented experimental data confirm that the suggested algorithm can be used.