Motivated by the experimental data, we study charmless B-u,B-d,B-s -> VT (V and T denote light vector and tensor mesons, respectively) decays in the perturbative QCD approach. The predictions of branching ratios, polarization fractions, and direct CP violations are given in detail. Specifically, within this approach we have calculated the polarization fractions and the branching ratios of B -> phi(K-2(*-), (K) over bar (*-0)(2)) which agree well with the observed experimental data; however, the branching ratios of B -> omega(K-2(*-), (K) over bar (*-0)(2)) are hard to be explained, where the polarization fractions are well accommodated. The tree dominated channels with a vector meson emitted have a longitudinal polarization fraction of 90%, while the penguin dominating ones have subtle polarization fractions. Fortunately, most branching ratios of B-u,B-d decays are of the order 10(-6), which would be straightforward for experimental observations. For the B-s decays the branching ratios can reach the order of 10(-6) in tree dominated decays, while in penguin dominated decays those are of the order of 10(-7) which require more experimental data to be observed.