PSR J1357 - 6429 is a young and energetic radio pulsar detected in X-rays and \gamma -rays .
It powers a compact pulsar wind nebula with a jet visible in X-rays and a large scale plerion detected in X-ray and TeV ranges .
Previous multiwavelength studies suggested that the pulsar has a significant proper motion of about 180 mas yr ^ { -1 } implying an extremely high transverse velocity of about 2000 km s ^ { -1 } .
In order to verify that , we performed radio-interferometric observations of PSR J1357 - 6429 with the the Australia Telescope Compact Array ( ATCA ) in the 2.1 GHz band .
We detected the pulsar with a mean flux density of 212 \pm 5 \mu Jy and obtained the most accurate pulsar position , RA = 13:57:02.525 ( 14 ) and Dec = - 64:29:29.89 ( 15 ) .
Using the new and archival ATCA data , we did not find any proper motion and estimated its 90 per cent upper limit \mu < 106 mas yr ^ { -1 } .
The pulsar shows a highly polarised single pulse , as it was earlier observed at 1.4 GHz .
Spectral analysis revealed a shallow spectral index \alpha _ { \nu } = 0.5 \pm 0.1 .
Based on our new radio position of the pulsar , we disclaim its optical counterpart candidate reported before .