The plea, filed by Hemraj's wife, is the first petition in the top court against the Allahabad High Court verdict of October 12 this year acquitting the couple.
The high court had freed them of the charges on the ground that they could not be held guilty on the basis of the evidence on record.
A CBI court at Ghaziabad in Uttar Pradesh had sentenced the Talwars to life imprisonment on November 26, 2013 in connection with the case.
Fourteen-year-old Aarushi was found dead inside her room in the Talwars' Noida residence with her throat slit in May 2008. The needle of suspicion had initially moved towards 45- year-old Hemraj, who had gone missing but his body was recovered from the terrace of the house two days later.
As the Uttar Pradesh Police drew flak over a shoddy probe into the case which was making national headlines, then chief minister Mayawati had recommended a probe by the Central Bureau of Investigation (CBI). The case was handed over to the CBI.