Children escaped injury after rocks were thrown at their home in the city on Saturday, breaking a window.
Ms McLaughlin said the attack must be condemned by all and urged those behind it to let families in the area live in peace.
Police have confirmed they are treating the attack as a sectarian-motivated hate crime.
Said the Foyle MLA: “There is absolutely no place in our communities for attacks of this nature and I’d like to express my full solidarity with the family affected.
“While incidents of this nature are thankfully increasingly rare, one is too many and nobody should have to live in fear in their own home.
“It’s unthinkable that two children could have been injured as a result of this reckless attack.
“It has been reported that a number of young people were involved and I would ask that parents talk to their children and stress the consequences of being involved in this kind of activity.
“I would urge anyone with any information about what happened here to come forward to police.
“The vast majority of people in our city want to live alongside their neighbours in peace and we must do everything in our power to put a stop to incidents like this.”