Replication stress (
RS
) is a major driver of genomic instability and tumorigenesis. Here, we investigated whether
RS
induced by the nucleotide analog fludarabine and specific kinase inhibitors [e.g. targeting checkpoint kinase 1 (Chk1) or ataxia telangiectasia and Rad3‐related (
ATR
)] led to apoptosis or senescence in four cancer cell lines differing in
TP
53
mutation status and expression of lamin A/C (
LA
/C).
RS
resulted in uneven chromatin condensation in all cell types, as evidenced by the presence of metaphasic chromosomes with unrepaired
DNA
damage, as well as detection of less condensed chromatin in the same nucleus, frequent ultrafine anaphase bridges, and micronuclei. We observed that responses to these chromatin changes may be distinct in individual cell types, suggesting that expression of lamin A/C and lamin B1 (
LB
1) may play an important role in the transition of damaged cells to senescence.
MCF
7 mammary carcinoma cells harboring wild‐type p53 (WT‐p53) and
LA
/C responded to
RS
by transition to senescence with a significant reduction of lamin B receptor and LB1 proteins. In contrast, a lymphoid cancer cell line
WSU
‐
NHL
(WT‐p53) lacking
LA
/C and expressing low levels of
LB
1 died after several hours, while lines
MEC
‐1 and
SU
‐
DHL
‐4, both with mutated p53, and
SU
‐
DHL
‐4 with mutations in
LA
/C, died at different rates by apoptosis. Our results show that, in addition to being influenced by p53 mutation status, the response to
RS
(apoptosis or senescence) may also be influenced by lamin A/C and
LB
1 status.