We report on the search for steady point-like sources of neutral particles around 10 ^ { 18 } eV between 2008 May and 2013 May with the scintillator surface detector of the Telescope Array experiment .
We found overall no significant point-like excess above 0.5 EeV in the northern sky .
Subsequently , we also searched for coincidence with the Fermi bright Galactic sources .
No significant coincidence was found within the statistical uncertainty .
Hence , we set an upper limit on the neutron flux that corresponds to an averaged flux of 0.07 km ^ { -2 } yr ^ { -1 } for E > 1 EeV in the northern sky at the 95 % confidence level .
This is the most stringent flux upper limit in a northern sky survey assuming point-like sources .
The upper limit at the 95 % confidence level on the neutron flux from Cygnus X-3 is also set to 0.2 km ^ { -2 } yr ^ { -1 } for E > 0.5 EeV .
This is an order of magnitude lower than previous flux measurements .