People caught hurting quokkas could now be slugged with whopping $300,000 fine under new legislation being drafted by the Barnett government.

Under the current Biodiversity Conservation Act the penalty for harming a quokka is a maximum fine of $50,000 and five years' jail.

A New Zealand man has been accused of throwing a quokka off a jetty.

The drafting of the new legislation comes as two French tourist were fined $4000 each in the Fremantle Magistrates Court on Friday for burning a quokka using a deodorant can and a lighter on April 3.