We present a stellar population synthesis study of a type I luminous infrared galaxy ( LIRG ) : IRAS F13308+5946 . It is a quasar with absolute magnitude M _ { i } = -22.56 and has a spectral feature of a Seyfert 1.5 galaxy . Optical images show characteristics of later stages of a merger . With the help of the stellar synthesis code starlight ( Cid Fernandes et al . 2005 ) and both Calzetti et al . ( 2000 ) and Leitherer et al. ’ s ( 2002 ) extinction curves , we estimate the past infrared ( IR ) luminosities of the host galaxy and find it may have experienced an ultraluminous infrared galaxy ( ULIRG ) phase for nearly 300 Myr , so this galaxy has probably experienced a type I ULIRG phase . Both nuclear starburst and active galactic nuclei ( AGN ) contribute to the present IR luminosity budget , and starburst contributes \sim 70 % . The mass of supermassive black-hole ( SMBH ) is M _ { BH } = 1.8 \times 10 ^ { 8 } M _ { \odot } and the Eddington ratio L _ { bol } / L _ { Edd } is 0.12 , which both approximate to typical values of PG QSOs . These results indicate that IRAS F13308+5946 is probably at the transitional phase from a type I ULIRG to a classical QSO .