Palms and Oaks Realty Limited , look under your dash above the brake pedal, follow the pedal arm up and you will see a switch. Check that the button on switch is aligned with the arm and is being pushed into shut the brake lights off. Pull up on pedal and have some one watch to see if brake lights go out, if they do you may have to adjust he switch so button gets pushed correct amount to open connection. If all looks good and brake lights still on, the brake light switch could be faulty or a short in the brake circuits wiring, which will have to be traced and repaired. If you have a trailer light harness installed check/remove it as sometimes these can be problem. Link below will give you an idea of brake light switch location, adjustment,etc.. Good luck.
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http://craluxlighting.com/lighting/honda-civic-brake-light-switch.php