  In this paper, we presented the 23.3 years of pulsar timing results of PSR
J1456-6413 based on the observation of Parkes 64m radio telescope. We detected
two new glitches at MJD 57093(3) and 59060(12) and confirmed its first glitch
at MJD 54554(10). Using the "Cholesky" timing analysis method, we have
determined its position, proper motion, and two-dimensional transverse
velocities from the data segments before and after the second glitch,
respectively. Furthermore, we detected exponential recovery behavior after the
first glitch, with a recovery time scale of approximately 200 days and a
corresponding exponential recovery factor Q of approximately 0.15(2), while no
exponential recovery was detected for the other two glitches. More
interestingly, we found that the leading component of the integral pulse
profile after the second glitch became stronger, while the main component
became weaker. Our results will expand the sample of pulsars with magnetosphere
fluctuation triggered by the glitch event.
