Police have dropped any further investigations into Formula One champ Lewis Hamilton's apparent use of a cell phone while speeding down an Auckland motorway on a motorcycle.

Police said yesterday there was not enough evidence to show the 31-year-old had actually been holding the phone at the time.

Hamilton shared a short video on social networking app Snapchat, on Tuesday, showing him cruising down a motorway on a Harley Davidson. Police acknowledged he may have had a hands-free cell phone device attached to the bike - making it legally okay for him to use a cell phone driving.

"Auckland City Police will be taking no further action in relation to recent media publicity about Lewis Hamilton and his motorcycle journey in Auckland," police said. "The video footage available does not provide us with sufficient enough evidence that an offence has occurred."

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The decision came as the racing driver took in the sights of Queenstown and shared scenes of Milford Sound.

Hamilton shared his adventures with fans via Snapchat. With three friends, the journey starts off with him showing off a black helicopter.

"That's our baby for the day. Let's do some sightseeing."

As the helicopter flies over water towards mountains, Hamilton and his companions can be heard in the background gasping in awe. He tells fans: "Yup. This is the most beautiful place I've seen!"

Other photos and videos show the crew on top of a glacier and Hamilton playing golf on a mountain top. A friend also dips his hand into a what appears to be a freshwater pool. He tells the camera: "That's fresh - oh my God, that's the best water!"

Hamilton pans his camera around again, telling fans: "Just so freakin' beautiful."

Hamilton arrived in Melbourne last night for this weekend's Australian GP.