  We consider quantum steering by non-Gaussian entangled states. The Reid
steering criterion based on the Heisenberg uncertainty relation fails to detect
steerability for many categories of such states. Here, we derive a tighter
steering criterion using the Robertson-Schr\"{o}dinger uncertainty relation. We
show that our steering condition is able to detect steerability of several
classes of non-Gaussian states such as entangled eigenstates of the
two-dimensional harmonic oscillator, the photon subtracted squeezed vacuum
state and the NOON state.
