  The first directional dark matter search with three-dimensional tracking with
head-tail sensitivity (3d-vector tracking analysis) was performed with a
gaseous three-dimensional tarcking detector, or the NEWAGE-0.3b' detector. The
search was carried out from July 2013 to August 2017 (Run14 to Run18) at the
Kamioka underground laboratory. The total livetime is 434.85 days corresponding
to an exposure of 4.51 kg$\cdot$days. A 90 % confidence level upper limit on
spin-dependent WIMP-proton cross section of $4.3 \times10^{2}$ pb for WIMPs
with the mass of 150 GeV/$c^2$ is obtained.
