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According to the Shell-Model Monte Carlo method, basing on the Random PhaseApproximation and the linear response theory, we carried out an estimation onelectron capture of strongly screening nuclides $^{56}$Fe, $^{56}$Co, $^{56}$Ni, $^{56}$Mn ,$^{56}$Cr and $^{56}$V in strong electron screening (SES)inpresupernova. The  EC rates are decreased greatly and even exceed $21.5\%$ in SES. We alsocompare our results with those of Aufderheide (AFUD), which calculated by themethod of Aufderheide in SES. Our results are agreed reasonably well with AUFDat higher density-temperature surroundings (e.g. $\rho_7>60, T_9=15.40$) andthe maximum error is $\sim $0.5$\%$. However, the maximum error is $\sim$13.0$\%$ at lower density surroundings (e.g. $^{56}$Cr at $\rho_7=10,T_9=15.40, Y_e=0.41$ ). On the other hand, we also compared our results in SESwith those of FFN's and Nabi's, which is in the case without SES. Thecomparisons show that our results are lower more than one order magnitude thanFFN's, but about $7.23\%$ than Nabi's.

Electron capture of strongly screening nuclides $^{56}$Fe, $^{56}$Co, $^{56}$Ni , $^{56}$Mn ,$^{56}$Cr and $^{56}$V in presupernova