Coupled with a strong majority in both houses of parliament, Abe is set to make changes to the Japanese constitution.
Trump has previously expressed his opinion that Japan should “protect itself against this maniac of North Korea” – in reference to North Korean dictator Kim Jong-un.
"People are reluctant about Prime Minister Abe, but then who would you turn to? There is no one," said Naoto Nonaka, professor at Gakushuin University in Tokyo.
With the outlook for the US economy clouded by Hurricane Harvey investors will be tuning in to a fresh round of speeches by Fed Chair Janet Yellen and regional Fed presidents for clues on the central bank’s next moves.