Her level of super strength (as granted to her by Demeter) is comparable to that of the Earth itself (as this is where she derives her powers). She is on the same strength level with the strongest other DC’s characters including Superman and Captain Marvel. Thus, she is capable of lifting/carrying thousands of tons with minimal effort. It is generally accepted that she is a notch below Superman. Wonder Woman was even able to take on Powergirl in a hand to hand fight while trying to free her from mind-control. Wonder Woman and Captain Marvel were an even match when they fought. On one occasion she even used her massive strength to move the Earth (though this was under duress and aided by Superman and the Martian Manhunter.) With the launch of the new 52 Wonder Woman showed a new strength level while fighting a God, she removes her bracelets and goes into a "berzerker rage" of power, which originally allegorical to a person losing control to their destructive Ego. We then find out that Wonder Woman's bracelets are what protects her opponents from her intense power. Wonder Woman had a quick match with Supergirl where we found out that they are close in strength, Wonder Woman over powered Supergirl with her bracelets still on.
After Crisis on Infinite Earths, the character’s origin was slightly retold by Greg Potter and George Perez. In this version, the Amazons were reincarnations of the souls of abused and murdered women from ancient days. In 1200 B.C. a debate occurred on Mount Olympus on how mankind should be made to relate to the gods. Ares, the god of war and destruction, wanted to descend upon the world with his army and crush mankind submission. This was opposed by the others gods present including Artemis, who wanted peace and suggested creating a new race that would lead humans on the right path. Zeus rejected their arguments, and they decided to proceed without his blessing. With the aid of Charon the ferryman, the gods reached the Womb of Gaea, where the souls of women who were abused and murdered at the hands of men were preserved by Gaea herself. Artemis then sent the souls to Greece where they reincarnated into adult women. Aphrodite observed that one soul still remains in the Womb, to which Athena replied that the time had not yet come for that one. The new race in Greece were approached by the goddesses, who bestowed upon them several blessings, charging them with the purpose of leading humanity in the ways of Gaea. They then appointed Hippolyte and Antiope as co-rulers. The civilization is named the Amazons. Stories of this civilization spread throughout Greece and reached the ears of Heracles, who was being manipulated by Ares into attacking the Amazons. Heracles approached the Amazons but was defeated by Hippolyte, upon which he pretended friendship and declared the Amazons allies. When their guard was down, the Greeks drugged the Amazons, taking Hippolyte, Antiope and the other survivors captive. In her cell, Hippolyte is freed by Athena ,who reminds her of her purpose and asked her to avoid revenge and pursue peaceful means. Hippolyte escaped and freed the rest of the Amazons. She shared Athena's message to the Amazons, but blinded by their thirst for revenge, they ruthlessly slaughter the remaining men. Antiope gave Hippolyta her girdle and left to pursue revenge The goddesses appeared and told them they had failed in their purpose and banished them to an island to guard the terrible evil within, as penance. They were granted immortality as long as they did not stray from their new purpose, which would eventually purify their souls. The Amazons built a nation and lived there for 4,000 years. It is during this time that Hippolyte, sole leader of the Amazons, felt an unexplained yearning. Menalippe, the Oracle, told her she was the only Amazon pregnant at the time of her previous incarnation's death, and thus the yearning she felt was the call of her unborn child. As per her advise, Hippolyte went to the shore at sunrise and made a clay figure of a baby. She then cried out to Artemis. The gods, recognizing it was time for the remaining soul in Gaea's womb to depart, infused it into the clay form, which then incarnated as a real child. Blessed with Gaea's greatest gift, life, the gods present bestowed their gifts upon the newborn: Demeter granted the baby great strength, Aphrodite granted her great beauty and a loving heart, Athena granted her great wisdom, Artemis granted her the eye of the hunter and unity with beasts, Hestia granted her sisterhood with fire, and Hermes gave her great speed and the power of flight. Hippolyte named her after a holy warrior, Diana, and she grew up knowing the love of a thousand mothers. Thus Diana of Themyscira was born.
Although they do not appear in Justice League: War, the Olympian Gods are briefly mentioned by Wonder Woman during a conversation with Superman about the other five heroes, referencing Batman as Hades (who is just as dark and mysterious just as Maxie Zeus did in the "Fire From Olympus" episode of Batman: The Animated Series), Green Lantern as Apollo (the God of Light), Flash as Hermes (the Messenger of Olympus and God of Speed), Cyborg as Hephaestus (the Blacksmith of Olympus and God of Metal) and Shazam as Zeus (God of Lightning).
With Zola's pregnancy reaching full term, she insisted on seeing her own doctor in Michigan. While there, they were all attacked by Artemis and Apollo. Unprepared, Diana and her companions were defeated, and Zola was taken to Mount Olympus to be delivered to Hera in exchange for the throne. Apparently, Hera was willing to give up her throne for the sake of revenge. However, she had expected Zeus to return as soon as his rule was threatened, which he did not. When Apollo sat on the throne, he was crowned ruler, and when he learned of Hera's deceit, he exiled her from Olympus.
These are a pair of steel cuffs that are indestructible because they were created from the remains of Zeus’s Aegis shield. Wonder Woman can use her super reflexes to deflect projectiles, blades, punches, or any form of offensive attack used against her (including Darkseid’s Omega Beams). She can also use them to deflect an object back into her enemies. When Diana crosses them to protect her from impact with larger projectiles as well as damage inflicted by explosions and collisions with hard surfaces, the bracelets generate a small energy shield. In recent events, Diana has learned how to emit a devastating magic lightning attack from her bracelets do to their link with Zeus. This attack can even strike Gods and Goddesses down with a powerful strike, and this attack can even work underwater. In the golden age these were items of submission meant to control Amazons. If they were removed from an Amazon, she would launch into an uncontrollable rage, releasing her full power (this was a plot device which subdued many foes, among them the Crimson Centipede). Also during this era, if they were bound together by a man, all her powers were lost, this was only true in the Golden Age. With the launch of the new 52 the golden age bracelets are brought back. Wonder Woman removes her bracelets and go into a "berzerker rage" of power. Wonder Woman's bracelets are what protects her opponents from her intense power in the New 52.
When Marston died in 1947 Robert Kanigher took over and Diana became less of a feminist character but during this time, her abilities expanded as she wore earrings that provided her with the air she needed when she was in outer space and she had an invisible plane. Extra additions included a tiara which could cut through almost anything and acted as a boomerang and her bracelets now had two way radios.
Membership Air Wave • Amazing Man • Atom Smasher • Batman • Black Adam • Captain Marvel • Citizen Steel • Cyclone • Damage • Darknight • Hawkgirl • Hippolyta • Huntress • Jakeem Thunder • Johnny Thunder • Judomaster • King Chimera • Liberty Belle • Lightning • Magog • Miss America • Mister America • Obsidian • Power Girl • Red Beetle • Red Tornado • Ri • Robin • Sand • Stargirl • Star-Spangled Kid • S.T.R.I.P.E. • Thunderbolt • Tomcat • Superman • Wonder Woman