Disclosed are a folding chassis and a folding bicycle. The folding chassis comprises a crossbeam (1), stand column (2) and a support column (3). The crossbeam comprises a front beam (11) and a rear beam (12). A rear end bottom of the front beam is rotatably connected with a front end bottom of the rear beam so that the two can be folded vertically, and an angle between a rotation axis of the front beam and a central axis of the rear beam is acute. The support column comprises a front column (31) and a rear column (32), the front column and the front beam being plugged and matched, the front column being rotatably connected with the rear column, and the rear column being rotatably connected with the stand column. The folding between the front beam and the back beam is a vertical folding which cannot be rotated and folded by itself during riding and has better reliability. A front end of the front column is inserted into the front beam and is supported under the front beam so as to enable the beam to be positioned in a deployed state without being folded downwards. The crossbeam, the stand column and the support column take a triangular shape, which can ensure the stability of the chassis. By rotating the rear column and the front column, so that the front column and the rear column are bended relatively, the front column can be pulled out of the front beam, and the chassis can be folded simply by folding the front beam downwards, which is easy to operate and use.