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The ratio of the oscillator strengths is one of the most important indexes in atomic transitions,which can be calculated via the measurement of the magic wavelengths,which have been predicted theoretically and measured experimentally in neutral atomic systems.Magic wavelengths also exist in ion systems.A scheme of measuring the magic wavelengths is introduced via observation of light shift in 40Ca+ optical frequency.By this method,two magic wavelengths are measured with high precision,and the values are λ|m|=1/2 = 395.7992(7)nm and λ|m|=3/2 = 395.7990(7)nm,which is agree with the theory within a fractional uncertainty of <4×10-6.Based on the two magic wavelengths measured,the ratio of the oscillator strengths on 4S1/2-4P1/2 and 4S1/2-4P3/2 transitions is calculated to be 2.009(4),with a fractional uncertainty of~2.0×10-3.