Hello I have a 2015 Honda fit
when I first turn it on a/c turns on cold and few mins later a/c fans shut off and a/c stops blowing cold
I put power to the a/c fan but still a/c don’t work after

 

could be the resistor,, might be going out controlling the blower to cut on and off, its $8 and if not that still good to put a new one in there just incase

 

A little vocabulary to make sure everyone understands the problem:
Blower motor: the fan that pushes air through the interior vents. It sounds like this is working normally (air comes out of the vents)?
Radiator/condensor fan: the fans in the engine bay that pull air into the engine bay through the radiator and A/C condenser. It sounds like these are also working (running while the A/C is blowing cold)?

Things to look at:
Does the A/C stay on when you turn the vent selector to one of the defrost (windshield) positions? If the A/C shuts off when using the button, but stays on with the defrost switch, you have a bad A/C switch (button).
If the condenser/radiator fans come on and stay on while the A/C stops cooling, the compressor is probably overheating. There is a thermal shut-down switch on the compressor itself that cuts power to the clutch (stops the compressor) until the compressor cools down. The rest of the A/C system doesn't know the compressor shut off, so the condenser/radiator fans keep running.
There's a pressure sensor/switch on one of the high pressure A/C lines. If the system pressure is too high (clogged orifice for instance) or too low (refrigerant has leaked out of the system), the system will shut down. I can't find a wiring diagram that shows whether the GK manual A/C system uses a sensor or a switch and how that possibly-a-switch is wired in. The best way to check this is to connect an A/C gauge set to the system to see what's happening while the system is running.

 

On a 2015 Honda Fit, an air conditioning system that works at startup but then stops after a few minutes is most often related to a cooling problem within the A/C system. The most common cause is a faulty radiator/condenser fan (motor, relay, or module) that stops working when it gets hot, leading to overpressure and the compressor shutting off as a safety measure.