This thesis comprises linear polarization measurements on gamma rays emitted from the previously observed 1.984, 2.572, 2.969 and 3.059 MeV levels of ²²Na using a Ge(Li) Compton polarimeter. Consistency with previous measurements on parameters characterizing these levels was first checked before assigning J^π = 2⁺ for the 1.984 MeV level and determining that both 2.969 MeV and 3.059 MeV levels have positive parity. Investigation of the 2.572 MeV level produced inconsistency with some previous work which had indicated a 2⁻ assignment. However, except for some pickup reaction work. the polarization measurement is consistent with all former measurements and indicates a 2⁺ assignment. / Thesis / Master of Science (MSc)