The agreement is the latest sign of London's growing interest in the Asia-Pacific region, and Tokyo's efforts to strengthen its alliances to face the challenges posed by China.
The deal creates a legal basis for the deployment of British and Japanese troops on each others' territory for training and other operations.
Prime Minister Rishi Sunak's office called it "the most significant defence agreement between the two countries in more than a century".
"In the past 12 months, we have written the next chapter of the relationship between the UK and Japan -- accelerating, building and deepening our ties," said Sunak.
"This Reciprocal Access Agreement is hugely significant for both our nations -- it cements our commitment to the Indo-Pacific and underlines our joint efforts to bolster economic security."
Negotiations on the deal, to be signed at the historic Tower of London, began in 2021.
Japan last January signed a similar accord with Australia, and Tokyo has recently overhauled its defence and security policy to address growing pressure from China.
Euan Graham, a senior fellow at the International Institute for Strategic Studies, described the deal as "quite a significant step up for both countries in terms of their bilateral defence relationship".
British ships and aircraft can visit Japan and vice-versa, but it's "diplomatically complicated" and requires foreign ministry clearance each time.
The new agreement will create a "standing framework" instead.
That will make it easier for one side to "bring a destroyer to visit your coast guard, or to bring in an army group, or to bring in some Royal Marines who want to train with the Japanese amphibious forces," Graham said.
Japan has a pacifist post-war constitution, which limits its military capacity to ostensibly defensive measures.
But last month, the government approved plans to hike defence spending to two percent of GDP by 2027, up from the traditional one-percent level, and warned that China poses the "greatest strategic challenge ever" to its security.
Britain has also become increasingly forceful in its approach to China, with Sunak warning in November that Beijing poses a "systemic challenge" to UK values and interests.
The UK, Italy and Japan said last month that they will jointly develop a future fighter jet.
The new "Global Combat Air Programme" is slated to produce its first jets by 2035, merging the three nations' costly existing research into new aerial war technology, from stealth capacity to high-tech sensors.
A British patrol ship also last year took part for the first time in "Exercise Keen Sword", the regular Pacific training operation carried out by the Japanese and US navies.
Kishida is on a tour of G7 allies for security-focused talks, culminating in a meeting with US President Joe Biden on Friday.
In Paris, he and Emmanuel Macron pledged deeper ties, with the French president promising to maintain "joint actions in the Pacific" and France's "unfailing support" against North Korean aggression.
Japan holds the G7 presidency this year and Kishida has vowed the group will maintain support for Ukraine, which is expected to be discussed in his talks with Sunak.
The pair are also expected to discuss trade, including the UK's possible accession to the Comprehensive and Progressive Agreement for Trans-Pacific Partnership (CPTPP).
Signed by 11 Asia-Pacific countries in 2018, the partnership is the region's biggest free-trade pact.