Hello & Welcome to JA,

This problem can be caused by a faulty circuit or BTSI solenoid (brake transmission system interlock) This will be a small solenoid at the shift linkage in console,

It is a pretty good job on this paerticular vehicle. here is info to help you.

Automatic Transmission Shift Lock Control Actuator Replacement

Important: After assembling the shift lock actuator, turn the ignition forward but do not start (auxiliary position) and attempt to pull the lever from PARK with and without the brake pedal depressed to verify there is no gear access without the brake pedal depressed.

Important: Ensure the key cannot be removed from the ignition unless both the shiftier is in PARK and the shift knob button has been depressed.

1. Remove the console.
   
   
2. Disconnect the shift lock actuator (3) electrical connector.
   
   
   
3. Shift assembly to the LOW position.
4. Loosen and remove the screw at the rear of the shifter assembly.
5. Shift the assembly to the NEUTRAL position.
6. Loosen and remove the top screw of the shift lock actuator through the lever slot.
7. Pull lever to the DRIVE position and remove the shift lock actuator.

1. In DRIVE position, depress the shift lock actuator button and realign into the shifter lever.
2. Push lever to NEUTRAL.

    

3. Install the top screw through the lever slot.

   Tighten
   Tighten the actuator screw to 1.65 N·m (15 lb in).

4. Shift lever to LOW.
5. Install screw at the rear of the shifter assembly.

   Tighten
   Tighten the actuator screw to 1.65 N·m (15 lb in).

   
   
   
   
6. Connect the electrical connector (3).
   
   
   
7. Verify the shift lock actuator functions properly.
8. Install the console.