The faint radio supernova remnant SNR G315.9–0.0 is notable for a long and thin trail that extends outward perpendicular from the edge of its approximately circular shell . In a search with the Parkes telescope we have found a young and energetic pulsar that is located at the tip of this collimated linear structure . PSR J1437–5959 has period P = 61 ms , characteristic age \tau _ { c } = P / ( 2 \dot { P } ) = 114 kyr , and spin-down luminosity \dot { E } = 1.4 \times 10 ^ { 36 } erg s ^ { -1 } . It is very faint , with a flux density at 1.4 GHz of about 75 \mu Jy . From its dispersion measure of 549 pc cm ^ { -3 } , we infer d \approx 8 kpc . At this distance and for an age comparable to \tau _ { c } , the implied pulsar velocity in the plane of the sky is V _ { t } = 300 km s ^ { -1 } for a birth at the center of the SNR , although it is possible that the SNR/pulsar system is younger than \tau _ { c } and that V _ { t } > 300 km s ^ { -1 } . The highly collimated linear feature is evidently the pulsar wind trail left from the supersonic passage of PSR J1437–5959 through the interstellar medium surrounding SNR G315.9–0.0 .