
der Neubau
new building
A newly constructed building that was completed only recently.
Unsere neuen Nachbarn sind in einen modernen Neubau am Stadtrand gezogen.
Our new neighbors moved into a modern new building on the outskirts of town.
new building
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new building
A newly constructed building that was completed only recently.
Unsere neuen Nachbarn sind in einen modernen Neubau am Stadtrand gezogen.
Our new neighbors moved into a modern new building on the outskirts of town.

new construction
The process of constructing a new building.
Der Neubau der Brücke wird voraussichtlich drei Jahre dauern.
The new construction of the bridge is expected to take three years.
The word 'Neubau' (new building / new construction) is a compound made up of the adjective 'neu' (new) and the noun 'der Bau' (construction, building). So it literally means a 'new building' or the 'new construction process'.
Die Firma plant einen Neubau für ihre Büros.
The company is planning a new building for its offices.
Pay attention to the preposition 'in' and the case. Movement toward a building is expressed with the accusative ('in einen Neubau' — into a new building), while a state or location requires the dative ('in einem Neubau' — in a new building).
Die Familie zieht nächste Woche in einen Neubau.
The family is moving into a new building next week.
You can often tell whether the building or the construction process is meant from the verb. Verbs like 'dauern' (to last), 'beginnen' (to begin), or 'planen' (to plan) refer to the process. Verbs like 'stehen' (to stand), 'sein' (to be), or 'wohnen in' (to live in) refer to the finished building.
Der Neubau des Bahnhofs dauert zwei Jahre.
The new construction of the train station will take two years.
construction / building
Both Bau and Neubau can refer to the process of erecting a building or to the completed building. Neubau additionally indicates that the building was newly constructed or is currently being built, while Bau leaves this information open. Use Bau in general and Neubau when the new construction is important.

Der Neubau des großen Wohnhauses soll im Herbst fertig sein.
The new building is supposed to be finished by fall.
Der Bau des großen Wohnhauses dauert noch mehrere Monate.
Construction of the large apartment building will take several more months.