ABS light comes on with ignition then should go off when you start the car.
If abs sensor does not turn off after disconnecting the battery, then
there is a real problem, a faulty sensor or ABS malfunctioning.
When the ABS led comes on immediately after you start the car and stays on usually is one of the relays.
The main one is called surge arrester relay, if it is faulty usually there have been an
overvoltage.
There should be two more, usually located behind the black plastic cover of the ABS.
Testing and changing the faulty relay can fix the problem.
If light turns off on startup, and comes back on when you reach some
speed, usually you need to check the wheel sensors. You test them
unplugging the sensor located behind the wheel and testing it for
continuity with a multimeter.
Use Haynes manual to find locations and specs of relays.
Contact a qualified mechanic if you cannot fix it yourself, problems with ABS may compromise safety of the vehicle.