In the analysis of high-resolution Doppler-free two-photon hyperfine-structure (hfs) measurements of levels in the Eu i term $^{6}\mathrm{D}$ of the configuration 4${\mathit{f}}^{7}$6s6d of $^{151}\mathrm{Eu}$ and $^{153}\mathrm{Eu}$ the necessity occurs to take into account also hfs perturbations. For the magnetic hfs interactions of $^{151}\mathrm{Eu}$, the following off-diagonal matrix elements $^{151}$${\mathit{A}}_{1}$(JJ') could be determined from the high-resolved two-photon line profiles: $^{151}$${\mathit{A}}_{1}$(1/2,3/2)=5.70(3) GHz, $^{151}$${\mathit{A}}_{1}$(3/2,5/2)=4.3(2) GHz, $^{151}$${\mathit{A}}_{1}$(5/2,7/2)=2.9(2) GHz, $^{151}$${\mathit{A}}_{1}$(7/2,9/2)=2.2(2) GHz. The high quality of the calculations is represented both in the reproducibility of the absolute hfs level energies and also in the hfs anomaly where a mean value deduced from the corrected magnetic hfs constants of -0.66(8)% can be stated.