Officials in the area were quoted by state-run CCTV as saying that most of the furry animals had climbed on to trees when the quake struck and were refusing to come down.
All the pandas are meanwhile reported to be safe in breeding facilities located in Ya'an in Sichuan province.
The animals are exclusively found in the province which was also the epicenter of the 7.0-magnitude earthquake that has killed over 200 people.
"These pandas were frightened by the quake. Staff comforted them immediately and now they all remain emotionally stable," Ren added.
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While the 60 giant pandas and nearly 100 staff at the base are safe, buildings here have suffered minor damages, Heng Yi, director of the base's publicity department, told official Chinese media.
The animals were discovered in 1869 by Armand David, a French missionary who introduced the giant pandas to the West.