A study of the//-decay of 98y and of the level scheme of 98Zr was undertaken by the use of the two recoil fission product separators JOSEF and LOHENGRIN. Two //-decay modes have been detected for 98y, the half-lives of which are 0.65_+ 0.05 s and 2.0_+ 0.2 s. The spins and parities of the two states which undergo//-decay are proposed to be 1 § and 4-, respectively, with the configurations (~ l g9/2)(v l g~/2) and (~2pl/2) (v lg7/2). The measured Qp-value is 7300• for the 0.65s decay. The level scheme of 98Zr was deduced from 7,7-coincidence data. Absolute 7-intensities were obtained from two independent measurements. The half-life of the first excited state of 98Zr at 853.0keV with spin and parity 0 § was determined through delayed 7,e--measurements to be 63 _+Tns. No indication of the coexistence of two different nuclear shapes of 98Zr was found.