A plate bundle periphery flexible connection structure comprises stand columns and a four-stand-column structure heat exchanger frame composed of the stand columns, an upper pressing plate and a lowerpressing plate, a heat exchange plate bundle is installed in the frame, stand column linings are installed on the inner sides of the stand columns, and pressing plate linings are installed between the upper pressing plate and the stand columns and between the lower pressing plate and the stand columns. The peripheral end parts of the heat exchange plate bundle are fixedly connected with inserts;the inserts are fixedly connected with the base plate; the base plate is fixedly connected with the stand column lining and the pressing plate lining through sealed flexible connecting pipes. The connecting structure is mainly applied to connection of the four-stand-column four-face detachable cover plate welded plate type heat exchanger plate bundle and the heat exchanger frame, and compared withthe prior art, the connecting structure can bear larger pressure difference of media on the two sides and absorb thermal expansion difference generated between the plate bundle and the heat exchangerframe while achieving pass division of the media on the two sides of the heat exchanger.