The historical root is the Civil War. Congress first reached citizens living abroad in the Revenue Act of 1862 and the principle was upheld by the Supreme Court in Cook v. Tait in 1924, on the theory that citizenship itself confers benefits and protection that justify taxation wherever the citizen resides. Whatever one makes of the rationale, the rule has been settled law for a century, and it is written into the definition of who is subject to tax rather than into any single deductible provision.
The practical consequence is double exposure, which the code then partly relieves. A US citizen who lives and works in Germany is taxed by Germany as a resident and by the United States as a citizen, so without relief the same salary would be taxed twice. Three mechanisms exist precisely because citizenship-based taxation creates that overlap. The foreign earned income exclusion lets a qualifying person leave a capped amount of foreign wages out of US gross income. The foreign tax credit offsets US tax dollar-for-dollar with income tax already paid to another country. And income tax treaties reallocate taxing rights and reduce withholding. None of the three eliminates the duty to file; they reduce or erase the amount owed.
Reporting survives even when tax does not. Because the reach is based on status, the filing requirements are broad and apply regardless of whether any US tax is ultimately due. A citizen abroad may owe nothing after the exclusion and the credit and still be required to file a Form 1040, report foreign accounts, and in some cases file additional information returns. Penalties for failing to file those information returns can be severe even when the underlying tax is zero, which is the trap that catches people who reasoned that no tax meant no filing.
Leaving the system is a deliberate legal act with its own tax. Because the obligation attaches to citizenship, the only way to end it is to renounce citizenship or, for a long-term green card holder, to abandon that status. For people above certain income or net-worth thresholds, doing so can trigger the expatriation tax, a mark-to-market charge treating most assets as sold on the day before expatriation. So the exit from citizenship-based taxation is itself taxed for the wealthiest who take it.