- He speaks Croatian, German, English and French.
- Has two children: daughter Elena Lovren (born 28 August 2012) and son Josip Lovren (born 21 June 2015) with wife Anita Lovren.
- In 2016, the public found out about his wife Anita's affair with a forestry worker Dario Torbic, an old friend of hers. He tried and managed to save their marriage with a make-or-break holiday in June, since he was not chosen for Croatia's Euro 2016 squad.
- In late April 2020, during the COVID-19 pandemic, he endorsed vaccine hesitancy and misinformation related to the COVID-19 pandemic, sharing posts by conspiracy theorists Rashid Buttar, David Icke and Ivan Pernar.
- During 2014 FIFA World Cup in Brazil, paparazzi leaked explicit photos of several Croatian internationals taking a "skinny dip" in the pool of a Brazilian hotel. Lovren reportedly suffered the most since almost his entire body was exposed.
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