A man strangled his wife then dialled 999 to say where the body was and to be careful as the children were asleep, the Old Bailey has heard.
Ronald Tyler, 47, who denies murder, is accused of killing Julie McKinley following a row after she returned from a party on 31 December last year.
Ms McKinley, 40, was found in bed, with her baby son nearby, at the couple's flat in Finsbury Park, north London.
Three other children were sleeping in the other bedroom, jurors heard.
The court heard Mr Tyler gave a 999 operator the address of the property before saying: "You'll find there's a body there but be careful because there's four children asleep as well."
Michael Shorrock QC, prosecuting, said officers broke into the property to find Ms McKinley lying in bed with the covers pulled up to her neck. They were unable to resuscitate her.
Mr Shorrock said: "The 22-month-old baby was asleep in his cot in the bedroom where the body was found.
"Officers checked the other bedroom and found three children in there."
Jurors were told one of the issues in the case may involve a claim that Mr Tyler was so drunk he did not know what he was doing.
The court heard that the couple, who had been together for 16 years and married for three, had three daughters aged eight, six, and four and a 22-month-old son.
Ms McKinley also had a daughter from a previous relationship.
Mr Shorrock said: "This defendant was a man who was obsessively jealous of Julie and who had a violent temper particularly when in drink."
While she was at the party 36 phone calls were made from their flat to her mobile phone, most of which were unanswered, the court heard.
Mr Tyler had told her sister that he was "worried sick" and had gone looking for her, said Mr Shorrock.
It is alleged Mr Tyler killed his wife shortly before he was seen on CCTV at 0506 GMT, coming out of the property and jumping over a wall.