  Decays of $\chi_{c1}$ to vector meson pairs $\phi\phi$, $\omega\omega$ and
$\omega\phi$ are observed for the first time using $(106\pm4)\times 10^6$
$\psip$ events accumulated at the BESIII detector at the BEPCII $e^+e^-$
collider. The branching fractions are measured to be $(4.4\pm 0.3\pm 0.5)\times
10^{-4}$, $(6.0\pm 0.3\pm 0.7)\times 10^{-4}$, and $(2.2\pm 0.6\pm 0.2)\times
10^{-5}$, for $\chi_{c1}\to \phi\phi$, $\omega\omega$, and $\omega\phi$,
respectively. The observation of $\chi_{c1}$ decays into a pair of vector
mesons $\phi\phi$, $\omega\omega$ and $\omega\phi$ indicates that the hadron
helicity selection rule is significantly violated in $\chi_{cJ}$ decays. In
addition, the measurement of $\chi_{cJ}\to \omega\phi$ gives the rate of doubly
OZI-suppressed decay. Branching fractions for $\chi_{c0}$ and $\chi_{c2}$
decays into other vector meson pairs are also measured with improved precision.
