The economist Mark Carney is the favorite tip when around 400,000 party members are to cast their votes. The soon-to-be 60-year-old Carney is described as a political novice, but has previously led both Canada's and the UK's central banks.
Challenging Carney, according to Canadian media, is primarily Trudeau's vice Chrystia Freeland.
For the winner of the election, the challenge awaits to defend Canada from Donald Trump's repeated attacks, where the American president has, among other things, said he wants to transform his independent neighbor to the north into the 51st state of the USA.
Furthermore, general elections are expected in Canada later this year, where the rival Conservative Party currently appears to have an advantage.
Justin Trudeau announced his resignation in January, following growing discontent both internally and among the Canadian population.