Maged Mohommed Ahmed Al-Harazi, 36, is on trial in the ACT Supreme Court for allegedly killing Sabah Al-Mdwali, 28, after a heated argument in the early hours of March 17, 2015.

It's alleged he inflicted 57 knife wounds on his wife as she breastfed their 10-month-old son and while their other two children, aged five and seven, were nearby.

Mr Al-Harazi was charged with murder but pleaded not guilty. He says Ms Al-Mdwali's father and brother killed her after they showed up at the couple's house and asked him to leave with the children.

When he returned home, the men had fled and his wife was dead, he said. The two men were arrested but later released without charge.

Mr Al-Harazi's trial is now in its fifth week and has revolved around whether he was the person who killed his wife.

The trial heard the couple, who married in Yemen before moving to Australia, had frequent disagreements about which country they would live in.

Mr Al-Harazi took the stand over three days, when he denied he had anything to do with his wife's death, and the couple's two eldest children also gave evidence.

In his closing submissions, prosecutor Shane Drumgold argued "every skerrick" of the police case, which included forensic evidence and mobile phone records, suggested Mr Al-Harazi murdered his wife before blaming her father and brother.

But Mr Al-Harazi's defence barrister, Ken Archer, said there was no direct evidence his client was the killer.

He said the Crown's argument that Mr Al-Harazi's increasing desperation to return to Yemen provided a motive for the killing was "a very long bow to draw".

Justice Richard Refshauge summed up the case before jury members retired shortly before 4pm on Wednesday afternoon.

They will continue deliberations on Thursday.