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Two twin binaries, KIC 4826439 and KIC 6045264, with very similar componentstars were found photometrically based on $\textit{Kepler}$ eclipsing binarylight curves. The absolute parameters of the massive components are1.156(0.03)$M_\odot$, 1.881(0.02)$R_\odot$, 6065K for KIC 4826439, and0.874(0.3)$M_\odot$, 1.206(0.02)$R_\odot$, 6169(30)K for KIC 6045264. Thedifferences between the components are less than two percents for all theparameters. A very low proportion of the twin binaries ($2/1592\approx0.13\%$)was found, which does not support the previous findings of the excesses oftwins on binary mass ratio distribution, but support a deficiently lowproportion of twins. A new method is practiced to work out the absoluteparameters of the two twins without the radial velocities. This method requiresthe solution of the light curves, the spectra and the evolutionary isochronesof covering the complete stellar parameter space, simultaneously. We alsostudied their evolution tracks that: KIC 4826439 will experience an unstablemass transfer stage followed by an unclear ending, and KIC 6045264 will becomea single star via an over-contact phase. It seems highly unlikely that the twotwin binaries will produce twin degenerate binaries, although they have quitesimilar components.

Two twin binaries with nearly identical components: KIC 4826439 and KIC 6045264