We have performed a pulsar search of 18 known or probable supernova re
mnants with the Arecibo 305 m radio telescope at 430 and 1420 MHz. The
remnants were selected to have angular sizes less than or of order a
few telescope beam diameters (similar to 10' at 430 MHz and similar to
3' at 1420 MHz). In some cases, larger remnants with centrally bright
ened cores of this scale were also included. The observations were sen
sitive to pulsars with periods greater than or similar to 1 ms and flu
x densities as low as similar to 0.2 mJy. The targets included two pro
bable plerionic objects and several shell-type remnants with centrally
brightened X-ray profiles. No new pulsars were discovered in the surv
ey, and we discuss some of the selection effects that make the interpr
etation of pulsar surveys of supernova remnants problematic. Effects o
f high pulsar velocities, uncertain distances, and high remnant bright
ness temperatures make it difficult to exclude the presence of a pulsa
r in most remnants.