Both dresses were to be auctioned in New York and raise money for the singer's foundation to help young addicts, reported Sun online.
"It's a blow. It's sickening to know that someone would steal something in the knowledge of its sentimental value," her father Mitch said.
The dress Winehouse wore to marry Blake Fielder-Civil in a ceremony in Miami, Florida, was expected to raise in excess of 100,000 pounds for her foundation, which helps youngsters beat drugs and develop their music.
Experts believed the newsprint dress, worn on the BBC live music show Later With Jools Holland, would also have secured at least 30,000 pounds.
The dresses were stolen from the Winehouse's Camden home in north London but it is not believed the property was broken into.
Mitch said that the house, worth around 3million pounds, is being sold and all her possessions logged and put into storage, which is how they realised it had gone.
"A lot of clothes and items were left and they were being catalogued when it was realised these two were missing. They were going to go to the foundation but somebody might be trying to sell them for their own profit," said a spokesman for her Foundation.