In this research was the study of the phenomenon of fluorescence energy transfer between two laser dyes. To get the energy transition process must equal absorption energy spectrum of the first dye (acceptor molecule) with fluorescence energy spectrum for the second dye (donor molecule). One models have been prepared in this study, the acceptor dye (acridine Orange) with the donor dye (popop).When measuring the absorption spectrum and the fluorescence spectrum of acceptor dye and donor dye check is considerable overlap between them and this confirms the check for model (acceptor + donor ).Before starting mixing was studied absorption and fluorescence spectra as well as optical linear properties for two dyes used individually at concentrations (0.5 x 10-3Ml).After preparation of sample ( acceptor + donor ) to (acridine Orange and popop) at concentration mentioned, we have noticed an increase intensity of emission spectrum ( fluorescence spectrum ), where the highest value ( 46.48 ) at the concentration (0.5 x 10-3Ml) compared with the value ( 9.28 ) at the same concentration before mixing .It has got anti -Stokes phenomenon in the sample of (acridine Orange and popop ) compared to get Stokes phenomenon for two dyes before mixing.