The invention discloses a telescopic filter element, and a filter with a replaceable filter element. The telescopic filter element comprises a wave-shaped filter part, first edge sealing strips and second edge sealing strips are arranged on the periphery of the wave-shaped filter part, the first edge sealing strips are arranged on the two sides of the folded edge of the filter part, the second edge sealing strips are arranged on the two sides of the multi-folded edge of the filter part, and fixing pieces are further arranged on the two sides of the multi-folded edge; and the filter with the replaceable filter element comprises the filter element and a frame, the frame is formed by splicing a first frame piece and a second frame piece, the whole frame piece is of an L-shaped structure, the upper edge of the top end of the long side of the frame piece is arranged to be an inclined face, an inclined protruding strip, a hollow reinforcing rib and a protective net baffle are sequentially arranged on the inner side of the long side from top to bottom, a surface protecting net is installed between the protective net baffle and the L-shaped short edge, and the filter element is installed in the upper space of the surface protecting net. The frame body and the filter element can be separated, the frame can be reused, the filter element can be replaced regularly, and energy conservation and consumption reduction are achieved; and the filter element is telescopic and is convenient to transport and store after being compressed.