The incident occurred on June 4 when an auxiliary police officer spotted the man walking against the flow of traffic near the checkpoint's arrival motorcycle zone, The Straits Times reported.
Upon being questioned, he claimed he had dropped his cash card.
As the officer attempted to locate the man's motorcycle, the man suddenly turned around and ran back toward Malaysia, ignoring repeated instructions to stop, Mothership reported.
The Woodlands Checkpoint is one of Singapore's two land border checkpoints, connecting ground traffic with Malaysia.
ICA said officers immediately activated security protocols and placed the checkpoint under lockdown.
