This paper presents measurements of transverse forces acting on oscillating cylinders towed at constant speeds and the measurements were arranged so that the results can be used in the response analyses of cylinders. The responses of spring supported cylinders and simply supported flexible cylinders were calculated. The calculated responses of the cylinders showed good agreements with the experimental results and calculations by other researchers. The experiments were systematically conducted changing combination of four parameters, oscillation amplitude, towing speed, oscillation frequency and cylinder length. The large number of the experiment cases were conducted and transverse forces and phase differences between oscillation and lift forces are arranged as functions of the four parameters. When oscillating amplitude is small, the frequency of lift force is governed by Strouhal number. The oscillating frequency become to dominante frequency of transverse force as the oscillating amplitude is increased. When the oscillating frequency come close to the Strauhal frequency, the frequency of the lift force is controlled by the oscillating frequency and correlation length become very long. But the correlation length does not become long when the oscillating frequency is distant from the Strauhal frequency. The phase angle, which determine energy exchange between fluid and oscillating cylinder, is changed by 180 degrees as the oscillating frequency coincide with the Strouhal frequency.