In a statement on Tuesday morning, Victoria Police said Anning’s actions were treated as self-defence and there was no reasonable prospect of conviction.
Will Connolly went viral after breaking the egg on Anning’s head during a press conference in Moorabbin, near Melbourne, on March 16.
The senator had attracted international condemnation in the wake of the Christchurch terror attack after he said “the real cause of bloodshed on New Zealand streets” was the “immigration program which allowed Muslim fanatics to migrate to New Zealand in the first place”.
On Tuesday Victoria Police announced it had concluded its investigation after interviewing both Anning and Connolly and reviewing CCTV footage.
Police said Connolly was issued with an official caution and a decision had been made not to charge Anning.
Later on Tuesday, police announced a 20-year-old West Footscray man had been interviewed by officers over the aftermath of the egg incident where Connolly was wrestled to the ground.
He was released and will be charged on summons with assault by kicking, Victoria police said.
Last month Connolly appeared on The Project and said money raised in his name would go to the victims of the Christchurch attack.
“I understand what I did was not the right thing to do; however, this egg has united people and money has been raised, tens of thousands of dollars has been raised for those victims,” he said.
“Too much attention is actually brought away from the real victims’ suffering — we should be focusing on them.”
Last week, the government, opposition and crossbench came together to condemn Anning in a formal censure motion.
Labor senator Penny Wong said Anning did not speak for the Senate or the nation and condemned him for making “extraordinarily offensive and divisive statements” while a nation was grieving.