The invention concerns a linear compressor (1) with a piston (16) reciprocating in a cylinder (8), a linear motor acting upon the piston (16) and a resonance spring arrangement (5) connected with the piston (16). It is endeavoured to reliably avoid damaging the compressor during operation. For this purpose, the resonance spring arrangement (5) has a fixed stop (48) allocated to the upper dead point of the piston (16).