No, Hitler was Fascist. Fascists allow Private property.
"Private property" as conceived under the liberalistic economy order was a reversal of the true concept of property [wrote Huber]. This "private property" represented the right of the individual to manage and to speculate with inherited or acquired property as he pleased, without regard for the general interests... German socialism had to overcome this "private", that is, unrestrained and irresponsible view of property. All property is common property. The owner is bound by the people and the Reich to the responsible management of his goods. His legal position is only justified when he satisfies this responsibility to the community.Contrary to the Marxists, the Nazis did not advocate public ownership of the means of production. They did demand that the government oversee and run the nation's economy. The issue of legal ownership, they explained, is secondary; what counts is the issue of CONTROL. Private citizens, therefore, may continue to hold titles to property -- so long as the state reserves to itself the unqualified right to regulate the use of their property.
If "ownership" means the right to determine the use and disposal of material goods, then Nazism endowed the state with every real prerogative of ownership. What the individual retained was merely a formal deed, a content-less deed, which conferred no rights on its holder. Under communism, there is collective ownership of property DEJURE. Under Nazism, there is the same collective ownership DE FACTO.