Abstract. The 42Ca levels at 4,715 and 6,633 keV excitation energy have been investigated using the 39K(~, py) reaction at E~--14 and 15 MeV. From particle-7-ray angular correlations the spin assignments J(4,715)--6, 4 and J(6,633)= 8, 6, 4 have been obtained. Lifetime measurements using the Doppler-shift attenuation method yielded ~(4,715)= 120_+46 fs and z (6,633)= 52_ 21 fs. Both levels have positive parity and decay by enhanced E 2 transitions. They are interpreted as the J~= 6 + and 8 + members, respectively, of the K ~ =0-:-rotational band which has the E x--1,837, 2,423 and 3,250 keV states as further members.