Initially, the Black Cat had no superhuman abilities. Later, a test induced by the Kingpin gave her the psionic ability to affect probability fields; essentially, she could produce "bad luck" for her enemies. The "bad luck" power entails that under stress she is subconsciously able to cause anyone in her immediate vicinity that she perceives as a threat to be susceptible to freak accidents, like guns jamming and exploding, or tripping on objects. This ability also had the side effect of eventually causing problems for anyone spending long periods of time around her.
Doctor Strange eventually tampered with her powers that briefly removed her bad luck abilities, along with the unwanted side effect. However, this magical tampering temporarily endowed her with cat-like abilities, giving her night vision, retractable talons in her fingertips, superhuman speed, strength, agility and endurance, proportionate to a cat. Her "bad luck" powers were eventually restored by Doc Tramma through the use of cybernetics.
The Black Cat has reflexes, agility, and stamina of an Olympic level acrobat. She is physically very strong and athletic and has great physical endurance. She is an excellent street fighter capable of taking on several armed assailants and incapacitating them without being injured herself. She is trained in several martial arts styles, including Judo and Goju Ryu Karate. Hardy is a talented photographer; while dating Spider-Man she takes pictures of the hero that he admits are better than his own work.
The Black Cat has also acquired several devices from the Tinkerer that increase her agility and heighten her strength. She wears earrings that interact with the balance centers of her brain to grant her enhanced agility. She has contact lenses that let her see in various ranges of the electromagnetic spectrum, such as infrared and ultraviolet. Her costume contains micro-servos that enhance her strength above normal human levels. The gloves of her costume contain steel micro-filaments, which form retractable claws at the fingertips when she flexes her fingers (triggering a magnetic surge which condenses the filaments into polarized talons) which enable her to tear through most surfaces and easily scale walls. Using this equipment, the Black Cat has been able to beat enemies who have superhuman abilities.
The Black Cat has a miniature grappling hook device hidden in the "fur" of each glove, designed by her father Walter Hardy, which enables her to swing from buildings in a manner similar to Spider-Man, though not quite as fast. She can also use the cable from this device as a tightrope, wall scaling device, swing line, or as a weapon in combat.