The duck is a mascot that sits outside the Shalom Day Care Center in Plainview.
Surveillance video posted on the center's Facebook page shows 2 vandals toppling the duck just before midnight on Saturday.
The assistant director of the center says fiber glass duck, which costs around $500, sustained damage and needs repairs.
Children who attend the day care just voted to name the duck Quacker Jack.
Anyone with information is asked to contact Nassau police.