As an expert in the field of comic book lore and the Marvel Cinematic Universe (MCU), I can provide an informed answer to your question.

In the original Marvel Comics, the ability to lift Thor's hammer, Mjolnir, is governed by an enchantment placed by Odin, which states that "Whosoever holds this hammer, if he be worthy, shall possess the power of Thor." The concept of worthiness is subjective and based on the character's purity of spirit and moral character. Hulk, despite his incredible strength, has never been depicted as lifting Mjolnir in the comics, suggesting that he is not considered worthy in the traditional sense.

However, in the MCU, particularly in "Avengers: Age of Ultron," Hulk does attempt to lift the hammer but is unable to do so, reinforcing the idea that worthiness is a key factor. There are other instances where characters have lifted the hammer in the comics and the MCU, such as Captain America, who in the comics was able to move it slightly and in the MCU was able to lift it, indicating his worthiness.

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Perhaps the closest Hulk has come to truly lifting Mjolnir was in Avengers Assemble #4. Thor attempted to wallop Thanos with Mjolnir, only for Thanos to mind-control Hulk and force the Jade Giant to catch the hammer. Hulk was able to both deflect Mjolnir and whack Thor in the face with it.read more >>