The 33-year-old on Thursday confessed to killing his 20-year-old wife in their house in Glyka Nera after police confronted him with evidence from the dead woman's smartphone and his mobile device that contradicted his testimony regarding the alleged time of her death.
"The perpetrator is [Ms Crouch's] 33-year-old husband, who confessed to his act", a statement released by detectives said.
Police said Babis Anagnostopoulos confessed to killing his wife, Caroline Crouch, 20, during an interrogation after he was picked up by authorities from his late spouse's memorial service on the island of Alonnisos, the BBC reports.
In brief remarks to reporters, his lawyer confirmed that he had confessed to the crime, adding that he had expressed remorse for his actions.
The account shocked the nation and prompted government officials to announce a €300,000 ($475,000) reward for information about the crime.
Anagnostopoulos initially claimed that three robbers had broken into the couple's home in a suburb of Athens on May 11, tied the pair up and put a gun to their daughter's head before strangling Crouch and taking off with thousands in cash.
On Thursday, authorities said new evidence had come to light and that the husband had been summoned for questioning after attending a memorial service on the Aegean Sea island of Alonissos, where Ms Crouch grew up.
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For over a month, Babis Anagnostopoulos has insisted a group of thieves tortured and murdered his wife in front of their 11-month-old daughter.
He had previously described the murderer as tall, dark-skinned, overweight and under 30 years old.
"When I managed to break free, I rushed upstairs to the attic to find my wife on the floor facing down, and the baby next to her wailing", he told police.
"What I and my family and my wife's family went through, let no one go through it again", he said, according to Greek news outlet Proto Thema.
Mr Anagnostopoulos had told broadcasters at the time that the attack has been a "nightmare".
Anagnostopoulos allegedly told police during his confession: "That night we had been arguing from early on".
'Police are doing their job and they will catch them.