A bistable weak PUF circuit with an autonomous stability screening function is provided. The bistable weak PUF circuit includes a decoder, a timing circuit, and a PUF core circuit is provided. The PUF core circuit realizes stable bit screening by connecting two screening levels. When the two screening levels connected to the PUF core circuit are equal, the PUF core circuit generates a W-bit original PUF response in one
clock cycle under the control of an m-bit word
line level signal output thereto by the decoder. Then, the m-bit word
line level signal received by the PUF core circuit is kept unchanged, one of the two screening levels connected to the PUF core circuit is kept unchanged, and the other is reduced by a certain amplitude, and two W-bit screened PUF responses are obtained after the screening levels are exchanged.