High-spin states in the odd-odd nucleus 168 Ta have been populated in the 120 Sn( 51 V,3n) reaction. Two multi-quasiparticle structures have been extended significantly from spin ∼ 20h to above 40h. As a result, the first rotational alignment has been fully delineated and a second band crossing has been observed for the first time in this nucleus. Configurations for these strongly-coupled rotational bands are proposed based on signature splitting, B(M 1)/B(E2) ratio information, and observed rotation-alignment behavior. Properties of the observed bands in 168 Ta are compared to related structures in the neighboring odd-Z, odd-N , and odd-odd nuclei and are discussed within the framework of the cranked shell model.