Two people have been arrested after a car chase through Wellington this afternoon.

Police pursued a car from Tory St through to Cable St at the waterfront before the two people in the car ditched it near Te Papa.

They were chased on foot and arrested, a police spokesman said.

"They are facing charges as a result."

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The chase attracted the attention of Twitter users.

"Very dangerous police car chase along the waterfront now," privacy commissioner John Edwards wrote.