The tearing mode instability and magnetic reconnection process in an anisot
ropic plasma (P-perpendicular to not equal P-// , T-perpendicular to not eq
ual T-//) are numerically studied by a two-dimensional three-component time
-dependant compressible MHD simulation. It is found that the instability te
nds to become nonlinear saturation after, a short period of linear growth.
The growth rate will increase when the intensity of pressure anisotropy / P
-perpendicular to/P-// / increases, while it will decrease with the decreas
e of the plasma beta and the augment in the y component B-y of magnetic fie
ld. In case of a large perpendicular anisotropy (P-perpendicular to > P (//
)), when the magnetic island formed in the current sheet by magnetic reconn
ection becomes nonlinear saturation, there will be cavity structures formed
near the X points. The cavities become larger gradually while the magnetic
islands become smaller and vanish at last. In the plasma with a parallel a
nisotropy (P-perpendicular to < P-//), the fire hose instability can only b
e excited in the central region of current sheet, and large magnetic island
can't be formed in the current sheet.