Architect Graham Dwyer has issued a statement following his guilty verdict.
The 42-year-old faces a life sentence after he was found guilty of murdering Elaine O’Hara to fulfil his own sexual gratification.
The jury in the trial heard he had a sexual desire for stabbing women during sex, and had stabbed Ms O’Hara to death.
Mr Dwyer's statement, issued through his solicitor, read: "I wish to take this opportunity to formally thank my legal team, my solicitor Jonathan Dunphy, senior counsel Remy Farrell, barrister Ronan Kennedy and Kate McCormack for their work and dedication since 2013
"I also wish to thank my family, friends and colleagues for their continued unwavering support throughout this period.
"To the members of the media, I am grateful for the privacy you have afforded both my family and people close to me during the trial, I now respectfully ask that you continue to respect their privacy and I confirm that there will be no further comment by my family or myself concerning this case whatsoever."
Elaine's family have also issued a statement.
It said: "We are greatly relieved that justice has been served but we still suffer her loss and miss her greatly.
"We hope that this case will highlight the need for people to be careful when communicating using the Internet and social media.
"We would like to thank An Garda Siochana for their sensitive and exemplary investigation. We would also like to thank the prosecution team, Garda Family Liasion officers, Victim Support at court and extended family and friends for their support."
They said they respected the role of the media in providing accurate and important information.
They said: "This has been a difficult and traumatic two and a half years for the family and while we respect the role of the media in providing accurate I and important information, we ask that you respect our need for privacy as we attempt to move on from this heartbreaking and distressing period.
"We will not be making any further comment at is time."
The officer who led the investigation into the murder said he hopes no family will have to endure what the O'Hara family have gone through.
Detective Chief Superintendent Diarmuid O'Sullivan said the inquiry was "grounded on expert evaluation and utilisation of data".
Graham Dwyer's wife afterwards released a statement adding her condolences to Elaine O'Hara's family.
“Gemma Dwyer and her immediate family have noted the proceedings of the court and its guilty verdict today,” read the statement.
“Their thoughts and condolences are with the O’Hara family for the grief and pain they are suffering.
“In the interests of maintaining privacy, and in particular to protect the interests of her children, Gemma Dwyer and members of her immediate family - parents, siblings and children - will not be making any further comment now, or in the future, on the case.
“The family would request that the media and members of the public respect their privacy in any further reporting or commentary, particularly with regard to the need to protect their children from any intrusion into their lives.”