A key audience is the Department for the Environment, Farming and Rural Affairs which has started its five-yearly review into laws in this area.
Illegal trading in wildlife currently carries a maximum two-year sentence.
WWF wants to boost police powers of arrest and increase the sentence to five years.
Also being targeted is the Home Office, which will consider DEFRA's report later this year. WWF UK campaign director David Cowdrey said the campaign must succeed otherwise the WWF will have to wait another five years for a chance to change the law.
The campaign has the backing of the Metropolitan Police's Wildlife Crime Unit and other forces.