Police are investigating a possible murder-suicide after a woman and her son were found dead on the New South Wales Central Coast.

The bodies of Erica Bond, 47, and her nine-year-old son Lachlan were discovered at their Kilpa Road home at Wyongah just before 2:00pm on Tuesday.

Detectives are investigating the deaths, but police say there are no suspicious circumstances, and are not looking for anyone else in relation to the tragedy.

Lachlan went to Tuggerawong Public School, where principal Grant McFarland said additional support would be made available for students.

"The school will have a carefully planned approach to supporting all students … Our heartfelt thoughts are with our much-valued student's family and friends," he posted on Facebook.

Police inside the home on the Central Coast where the woman and a child were found dead. ( ABC News )

Parents of students have been posting online tributes on the school's Facebook page.

Tina Simpson said: "my daughter is heartbroken — thinking of everyone today."

Darren Pring posted: "My heart is breaking for all involved & my darling son who is shattered."

Another woman, Jessica Barrance, wrote: "I can't stop the tears streaming down my son's face."

Erica Bond worked as a shop assistant at Kooindah Waters Golf Club, and was an active member in the local sporting community.

Nick Babcock posted on Facebook, saying "RIP Erica Bond!! Had the pleasure of knowing you from the golf course and your little boy!! Sooo sad!"

In one of her Facebook posts, Ms Bond shared a video about suicide prevention, which encouraged men to cry and speak about their feelings.

Another message shared last month read: "Depression is REAL — people can smile all day & still be broken inside. Share if you think this is right."

NSW Member of Parliament for Wyong David Harris offered his condolences on Twitter, describing the deaths as "very sad to hear, a real tragedy".

A report is now being prepared for the coroner.