DNA–protein crosslinks (DPC) are common DNA lesions induced by various external and endogenous agents. One of the sources of DPC is the apurinic/apyrimidinic site (AP site) and proteins interacting with it. Some proteins possessing AP lyase activity form covalent complexes with AP site‐containing DNA without borohydride reduction (suicidal crosslinks). We have shown earlier that tyrosyl‐DNA phosphodiesterase 1 (TDP1) but not AP endonuclease 1 (APE1) is able to remove intact OGG1 from protein–DNA adducts, whereas APE1 is able to prevent the formation of DPC by hydrolyzing the AP site. Here we demonstrate that TDP1 can remove intact PARP2 but not XRCC1 from covalent enzyme–DNA adducts with AP‐DNA formed in the absence of APE1. We also analyzed an impact of APE1 and TDP1 on the efficiency of DPC formation in APE1−/− or TDP1−/− cell extracts. Our data revealed that APE1 depletion leads to increased levels of PARP1–DNA crosslinks, whereas TDP1 deficiency has little effect on DPC formation.