Context : Aims : We determine the age and mass of the three best solar twin candidates in open cluster M67 through lithium evolutionary models . Methods : We computed a grid of evolutionary models with non-standard mixing at metallicity [ Fe / H ] = 0.01 with the Toulouse-Geneva evolution code for a range of stellar masses . We estimated the mass and age of 10 solar analogs belonging to the open cluster M67 . We made a detailed study of the three solar twins of the sample , YPB637 , YPB1194 , and YPB1787 . Results : We obtained a very accurate estimation of the mass of our solar analogs in M67 by interpolating in the grid of evolutionary models . The three solar twins allowed us to estimate the age of the open cluster , which is 3.87 ^ { +0.55 } _ { -0.66 } Gyr , which is better constrained than former estimates . Conclusions : Our results show that the 3 solar twin candidates have one solar mass within the errors and that M67 has a solar age within the errors , validating its use as a solar proxy . M67 is an important cluster when searching for solar twins .