A molecular rotation assisted non-sequential double ionization (MR-NSDI) mechanism is identified in the breakup of rotational H$_2$ molecules in a few-cycle intense laser pulse using a semi-classical trajectory Monte Carlo method. Applying a molecular source in an appropriate rotational state could intensively boost NSDI probability, and conclude with an additional small anti-correlated electron momentum distribution. It reveals the critical role of the continuous dynamics of molecular rotation, which assists the recollision process and subsequently releases the excited electron from the potential portal resulted from molecular rotation. Two underlying exit channels are found to contribute to MR-NSDI, i.e. tunneling ionization (dominated by enhanced ionization) and direct ionization. The two channels are confirmed to have different critical breakup internuclear distances. A prominent nuclear emission in $(-30^{\circ},30^{\circ})$ along the laser polarized direction is identified to be a signature of MR-NSDI.
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