A missile defence shield for the whole territory of Germany was one of the topics discussed when Chancellor Olaf Scholz met with Eberhard Zorn, the inspector general of the Bundeswehr, last week, the Bild am Sonntag newspaper reported.
Specifically, they spoke about a possible acquisition of the Israeli "Arrow 3" system, the paper said.
The defence ministry declined to comment on the report.
Israel's Defence Ministry had no immediate comment.
Andreas Schwarz, a member of parliament for Scholz's Social Democrats who is a budget spokesman, told the newspaper such a system made sense.
"We must protect ourselves better against the threat from Russia. For this, we need a Germany-wide missile defence shield quickly," he told the newspaper, adding: "The Israeli Arrow 3 system is a good solution."
In a landmark speech days after Russia's February 24 invasion of Ukraine, Scholz announced that Germany would sharply increase its defence spending to more than 2 per cent of its economic output and inject 100 billion euros ($A146 billion) into defence.
Russia says the goals for what Putin calls a "special military operation" include demilitarising and "denazifying" its neighbour.
Ukraine and its allies calls this a pretext for an unprovoked invasion.
Marie-Agnes Strack-Zimmermann, the head of parliament's defence committee, said Germany should consider various options for missile defence, including against high flying ballistic missiles which enter space for part of their flight.
"Israel produces such a system and it makes sense to not only look into different scenarios but also to potentially buy it as soon as possible," she told Welt television.
