"Sorry. Declined," a bench comprising Cheif Justice J S Khehar and Justices D Y Chandrachud and S K Kaul said.
Advocate M L Sharma, who filed a PIL in his personal capacity, had sought urgent listing of the plea saying "a criminal conspiracy" was on to defame the highest judiciary of the country.
"There should be an independent probe into the alleged suicide note and the death of Pul," he said.
The plea also sought investigation into the role of some lawyers who were allegedly espousing the cause of Pul's wife Dangwimsai Pul.
Pul had committed suicide on August 9 last year. His body was found hanging in the official residence of the Chief Minister at Itanagar.
After months of intense political developments, Pul had taken over the reins of Arunachal Pradesh on February 19, 2016 for a brief period but had to relinquish the job following a Supreme Court order in July.