  We use 21 Hubble parameter versus redshift data points, from Gazta\~{n}aga et
al. (2009), Stern et al. (2010), and Moresco et al. (2012), to place
constraints on model parameters of constant and time-evolving dark energy
cosmologies. This is the largest set of H(z) data considered to date. The
inclusion of the 8 new Moresco et al. (2012) measurements results in H(z)
constraints more restrictive than those derived by Chen & Ratra (2011b). These
constraints are now almost as restrictive as those that follow from current
Type Ia supernova (SNIa) apparent magnitude versus redshift data (Suzuki et al.
2012), which now more carefully account for systematic uncertainties. This is a
remarkable result. We emphasize however that SNIa data have been studied for a
longer time than the H(z) data, possibly resulting in a better estimate of
potential systematic errors in the SNIa case. A joint analysis of the H(z),
baryon acoustic oscillation peak length scale, and SNIa data favors a
spatially-flat cosmological model currently dominated by a time-independent
cosmological constant but does not exclude slowly-evolving dark energy.
