Lamins are important filaments forming the inner nuclear membrane. Lamin A is processed by zinc metalloproteinase (ZMPSTE24). Failure to cleave a truncated form of prelamin A—also called progerin—causes Hutchinson–Gilford progeria syndrome a well-known premature aging disease. Minor levels of progerin are readily expressed in the blood of healthy individuals due to alternative splicing. Previously, we found an association of increased progerin mRNA with overweight and chronic inflammation (hs-CRP). Here, we aimed to elucidate correlations of ZMPSTE24, lamin A/C and progerin with the inflammatory marker hs-CRP. In this retrospective, cross-sectional study we analyzed blood samples from 110 heart failure patients for quantitative mRNA expression of ZMPSTE24, lamin A/C, progerin and hs-CRP protein. Spearman correlations and linear regression analyses including adjustments for age, gender and ejection fraction showed a significant positive correlation of lnprogerin with lnZMPSTE24 (n = 110; r = 0.33; p = 0.0004) and lnlamin A/C (n = 110; r = 0.82, p < 0.0001), whereas no association was observed between lnlamin A/C and lnZMPSTE24 expression. Further analyses showed a significant positive correlation of lnhs-CRP with lnZMPSTE24 (n = 110; r = 0.21; p = 0.01) and lnlamin A/C (n = 110; r = 0.24; p = 0.03). We conclude that chronic inflammation is associated with increased expression of ZMPSTE24 and lamin A/C mRNA. Both markers also positively correlate with increased expression of the premature aging marker progerin which may be linked to cardiovascular aging.