Road spikes were used to end the high-speed pursuit of two teenagers in a stolen vehicle, NSW police say.

The 15-year-old and 18-year-old were caught speeding in a stolen toyota Prado at Bookham, north-west of Canberra, on Thursday afternoon and led police on a chase along the Hume Highway.

The 15-year-old driver attempted to evade police by performing a u-turn and travelling north on the Hume Highway before taking the exit ramp on Gundagai Road.

The pursuit came to an end at Cullinga Creek near Cootamundra when road spikes were successfully deployed.

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Both men were arrested and taken to Cootamundra Police Station, where they were linked to a robbery that occurred days earlier on the central coast.

Police will allege the pair were among a group of four teenagers who punched a 17-year-old boy in the head and chest and stole his wallet at the bus terminal of Woy Woy train station.

Both were refused bail to appear on court on a string of charges relating to the robbery, stolen car and the police pursuit.