The paper is devoted to the double pendulum motion analysis in the continuous media - fluid (wind, water) flow. Double pendulum is designed as two plates: the first plate moves around a fixed horizontal or vertical axis and the second plate is attached to the first by parallel axis. Continuous media (fluid) flow rate is selected such that can be described by a Fourier series first members. The first part of the article deals with the case when the pendulum moves in a vertical plane with horizontal axes and is subjected to the fluid interaction forces and gravity forces. In this article the fluid interaction forces are taken dependent on the flow velocity rate in square or linear. The motion differential equations of a system with two degrees of freedom are prepared. Analysis of these equations is made by computer. In the second part of the article the motion of the pendulum with vertical axis is analyzed. Additionally, the case when inside the pendulum axes elastic reversible springs are placed is recommended. The main motion parameter graphs are shown in transition and stationary vibration cases. Experimental investigations with the flow of air in the wind tunnel are mentioned. It is shown that the obtained results are useful for energy extraction from the fluid (air, water) flows.