The couple were awarded life sentence by a special CBI court in Ghaziabad on November 26, 2013, a day after their conviction.
Nupur and Rajesh Talwar are at present serving their sentence in Ghaziabad's Dasna jail.
A division bench of the high court comprising justices B K Narayana and A K Mishra had reserved its judgement on September 7 on the appeal filed by the dentist couple, fixing October 12 as the date for the verdict.
As the Uttar Pradesh Police drew flak over shoddy investigation into the case which was making national headlines, the then chief minister Mayawati handed over the probe to the Central Bureau of Investigation (CBI).