The invention relates to a method for estimating weak signal amplitude under an alpha noise background and belongs to the field of nonlinear signal processing. The method comprises the steps of generating a signal to be tested in a simulation mode, establishing a Duffing chaotic system, setting parameters of the Duffing system, using a 4-order Range-Kuttle algorithm to solve a chaotic solution of the Duffing system when the signal to be tested is not added, using the almost periodicity to judge a chaotic threshold of the system, inputting the signal to be tested into the Duffing chaotic system, obtaining a chaotic threshold of the system by the same method and recording the chaotic threshold as Fs, and subtracting Fs from the obtained system chaotic threshold Fo, so that the amplitude B of the signal to be tested can be calculated. The method is simple in algorithm, low in calculated amount and capable of guaranteeing the validity and the accuracy of amplitude estimation and improving the working efficiency.