  The universe with adiabatic matter creation is considered. It is thought that
the negative pressure caused by matter creation can play the role of a dark
energy component, and drive the accelerating expansion of the universe. Using
the Type Ia supernovae (SNe Ia) data, the observational Hubble parameter data,
the Cosmic Microwave Background (CMB) data and the Baryonic Acoustic
Oscillation (BAO) data, we make constraints on the cosmological parameters,
assuming a spatially flat universe. Our results show that the model with matter
creation is consistent with the SNe Ia data, while the joint constraints of all
these observational data disfavor this model. If the cosmological constant is
taken into account, a traditional model without matter creation is favored by
the joint observations.
