We present a study of the relation between the [O iii] 5007 Å emission line width (σ
[OIII]) and stellar velocity dispersion (σ
*), utilizing a sample of 740 type 1 active galactic nuclei (AGNs) with high-quality spectra at redshift z < 1.0. We find the broad correlation between the core component of the [O iii] emission line width (
σ
[
O
III
,
core
]
) and σ
* with a scatter of 0.11 dex for the low redshift (z < 0.1) sample; for redshift (0.3 < z < 1.0) AGNs, the scatter is larger, being 0.16 dex. We also find that the Eddington ratio (L
bol/L
Edd) may play an important role in the discrepancies between
σ
[
O
III
,
core
]
and σ
*. As the L
bol/L
Edd increases,
σ
[
O
III
,
core
]
tends to be larger than σ
*. By classifying our local sample with different minor-to-major axis ratios, we find that σ
* is larger than
σ
[
O
III
,
core
]
for those edge-on spiral galaxies. In addition, we also find that the effects of outflow strength properties such as maximum outflow velocity (
V
max
) and the broader component of the [O iii] emission line width and line shift (σ
[OIII,out] and V
[OIII,out]) may play a major role in the discrepancies between
σ
[
O
III
,
core
]
and σ
*. The discrepancies between
σ
[
O
III
,
core
]
and σ
* are larger when
V
max
, V
[OIII,out], and σ
[OIII,out] increase. Our results show that the outflow strengths may have significant effects on the differences between narrow-line region gas and stellar kinematics in AGNs. We suggest that caution should be taken when using
σ
[
O
III
,
core
]
as a surrogate for σ
*. In addition, the substitute of
σ
[
O
III
,
core
]
for σ
* could be used only for low luminosity AGNs.