Tyson Fury remains unbeaten, while Anthony Joshua won his 20th straight victory by knockout in October.
Fury has vowed to regain world titles âwhich are rightfully mineâ after being given the green light to resume his career.
Fury tested positive for a banned steroid in February 2015, but accepted a backdated two-year ban on Tuesday.
Pending the return of his licence, Fury, 29, wants to fight compatriot Anthony Joshua â the IBF and WBA heavyweight world champion.
_âWhere you at boy? Iâm coming for you,â_ he wrote on Twitter.
Furyâs win over Wladimir Klitschko in 2015 was his last bout before a legal battle with UK Anti-Doping (Ukad).
In October 2016, he gave up his WBO and WBA titles to focus on mental health problems. The British Boxing Board of Control (BBBofC) suspended his licence âpending further investigation into anti-doping and medical issuesâ.
Following Tuesdayâs decision, Fury made his challenge to 28-year-old Joshua on social media. He further released a statement which disclosed that: âNext year I will be back doing what I do best, better than ever and ready to reclaim the world titles which are rightfully mine.â
âItâs time to get the party started.â He added.
Joshua defended his world titles in October, while the other two world belts are held by American Deontay Wilder and New Zealandâs Joseph Parker.
Last month, Joshuaâs promoter Eddie Hearn stated that there was âabsolutely no questionâ Joshua would face Wilder in a unification bout in 2018.
Fury tested positive for a banned steroid in February 2015, but blamed the result on eating uncastrated wild boar.
Both men were not charged until June 2016 and both continue to insist they have ânever knowingly or deliberately committed a violationâ.
Fury will be free to return to the ring once he regains his boxing licence from the BBBofC, who Ukad say have accepted the outcome.
Hughie Fury , Tysonâs cousin, has reached a similar agreement after he also tested positive in February 2015.
Fury said he was glad he could put the ânightmareâ behind him and that he and his cousin Hughie can âmove forward knowing they will not be labelled drug cheatsâ.
Both fightersâ respective bouts in February 2015, including Tysonâs victory over Christian Hammer, have been disqualified but results after that date, including the win over Klitschko, stand.
âIâm a fighting man through and through and Iâve never backed down from anyone in my life .I was certainly not going to back down from fighting this dispute,â he said.