"旧石器时代的" can be translated into English as "Paleolithic" or "Paleolithic Age (of)" when referring to a specific period or context.
For example:
Paleolithic tools（旧石器时代的工具）
The Paleolithic Age（旧石器时代）
"Paleolithic" is the standard term used in archaeology and anthropology to describe the earliest period of human prehistory, characterized by the use of stone tools.