Some Tb3+/Eu3+ doped SrGdGa3O7 (SGGO) phosphors were fabricated, achieving multi-color tunability through the addition of a sensitizer. The experimental results indicate that the doped ions are uniformly distributed, with no impurity phases detected. In SGGO-based phosphors, Eu3+ ions serve as activators and exhibit an optimal luminescence transition level of 5D0-* 7F4. When Tb3+ ions are used as the sensitizer and at a specific concentration, the luminescence color transition of green-* orange-* red as the content of Eu3+ enhances. Analysis of the decay lifetime curves reveals that Tb3+-* Eu3+ energy transfers occur in the co-doped SGGO phosphors, with the mechanism identified as quadrupole-quadrupole interaction. This article investigates the specific energy transfer processes involved. The optimum content of Eu3+ is ascertained as 0.03. Under the excitation at 375 nm, the SGGO based phosphor containing 0.06 Tb3+ and 0.03 Eu3+ exhibits CIE coordinates of (0.5000, 0.4397).