When I turn the engine off the blower motor keeps running and will not shut off

check blower motor resistor connector could be burnt or resistor it self

posible blower resystor and relay is all une piece mounted nes blower motor

Check fuse possible blower failure

the blower resistor should be your problem

read this post on what's causing blower motor to run all the time.

http://ricksfreeautorepairadvice.com/blower-motor-wont-shut-off/
Blower motor wont shut off Ricks Free Auto Repair Advice

Blower motor short to ground.

if you are talking about the engine electric cooling fan..it will run after car is turned off until temp goes down then it shut off..unless you're talking about the heater blower motor..then i would look in the engine compartment passenger side firewall for the heater box ..on the box there is speed control resistor for the heater fan speed..that might be shorted.if not fan switch on dash..give more info next time..it makes it easier answer with more info

Blower on High Only? This is the Blower (Fan) Motor Resistor. Was that/has been Replaced?
This should be located near the Blower Motor. Follow the wires from the Blower Motor BACK to the Resistor. Change out the Resisitor and before re-assembling back together - Check the operation.
Let me know if this helped, or if you have additional information or questions. Feel free to contact me at FixYa.com!

It's normal for the radiator fans to keep running after the engine is turned off. They will stop after a few minutes.

It keeps burning out blower resistors because of the blower motor drawing to much amperage so you will need to replace the resistor and blower motor