According to the Java Language Specification, constructors cannot be marked synchronized because other threads cannot see the object being created until the thread creating
The question has been raised on a discussion list used by the writers of the Java concurrent API and the Java Memory Model. Several answers were given, in particular Hans Boehm replied:
Some of us (myself included IIRC) actually argued during the Java memory model deliberations that synchronized constructors should be allowed. Now I could go either way on it. Client code shouldn't use races to communicate the reference, so it shouldn't matter. But if you don't trust the clients of [your class], I think synchronized constructors could possibly be useful. And that was much of the reasoning behind final field semantics. [...] As David said, you can use synchronized blocks.