Put new battery on my sportman 500 ho 2004,and it start even the switch igniton is unplog and on the left handle switch is unplog to?

Question edited for clarity and typos, and guessing it is a 'Polaris' and not a 'polar'.
Question moved to model category.

It is a known issue. You likely need a new switch, they burn the contacts with prolonged use.

https://www.google.com/search?q=1999+Polaris+Sportsman+500.+Why+will+it+not+turn+off

The fuse box on the 2004 Sportsman 500 HO should be located under the hood, near the battery. On the left side of the battery box, look for an access panel with a fuse cover. This cover will provide access to the fuse box.

Some crafty devils actually hide some fuses inside the CDI unit.

maybe a new battery may help ?

If it is stuck, try to rock it back and forth while attempting to shift. This has worked for me in the past. It sounds like oil wasn't replaced after going through mud / water before storing.

I have a 2001 polaris sportsman 500 H.O. I have replaced the fan and the thermial fan switch,and checked the thermostat. Everything is either new or works there are no bubles in the coolant when its running I am running out of opptions . If I unplug the thermal fan switch and plug a jumper wire in the fan will run. I thought the new switch was bad and I tested it and it is good

Ck for loose, corroded, wire connections or a bad starter solenoid.

check atvconnection or quadcrazy forums