In this work, we investigate what extent the cosmological parameters can be
constrained to when the redshift drift data of Square Kilometre Array (SKA) are
used alone and what will happen when the European Extremely Large Telescope
(E-ELT) and SKA mock data are combined. The $\Lambda$CDM model is chosen as a
reference model to reach our aims. We find that using the SKA1-only mock data,
the $\Lambda$CDM model can be loosely constrained, while the model can be well
constrained when the SKA2-only mock data are used. When the combination of SKA
and E-ELT mock data are considered, the constraints can be significantly
improved almost as good as the data combination of the type Ia supernovae
observation, the cosmic microwave background observation, and the baryon
acoustic oscillations observation. Furthermore, we also investigate in the
future what role the redshift drift data of SKA will play in the cosmological
parameter estimation. We use four dark energy models, namely, the $\Lambda$CDM
model, the $w$CDM model, the CPL model, and the HDE model, as examples to make
the analysis. These models are favored by the current observations well. we
find that the redshift drift measurement of SKA could help to significantly
improve the constraint on dark energy and could break the degeneracy existing
between the cosmological parameters. Therefore, we conclude that redshift-drift
observation of SKA would provide a good improvement in the cosmological
parameter estimation in the future and have the enormous potential to be one of
the most competitive cosmological probes in constraining dark energy.