  We report on the performance of a micro-TPC with a micro pixel
chamber($\mu$-PIC) readout for a time-resolved neutron position-sensitive
detector(PSD). Three-dimensional tracks and the Bragg curves of protons with
energies of around 1 MeV were clearly detected by the micro-TPC. More than 95%
of gamma-rays of 511 keV were found to be discriminated by simple analysis.
Simulation studies showed that the total track length of proton and triton
emitted from the $\rm {}^{3}He$(n,p(573 keV))$\rm {}^{3}H(191 keV)$ reaction is
about 1.2 cm, and that both particles have large energy losses ($\rm > 200
keV/cm$) in 1 atm Ar+$\rm C_{2}H_{6}(10%)$+${}^{3}$He($< 1%$). These values
suit the current performance of the micro-TPC, and we conclude that a
time-resolved neutron PSD with spatial resolution of sub-millimeters shall be
developed as an application of the micro-TPC.
