After suffering his first professional loss to Koki Kobayashi by unanimous decision on 29 July 2013, Abe won his next four fights to qualify for the featherweight event of the East Japan Rookie of the year tournament.
[2] Advancing to the East Japan Rookie of the Year tournament finals, which were held on 2 November 2014, Abe faced Naoto Moriya (6–1–1).
[4][5] After winning the All Japan Rookie title, Abe faced the twelve fight veteran Shingo Kusano.
[6] Abe rebounded by winning his next three fights (against Ryo Hino, Rokuhei Suzuki and Hikaru Marugame), before rematching Shingo Kusano on 19 July 2016.
The bout was stopped early in the ninth round, due to a cut above Hosono's right eye, which was caused by an accidental clash of heads.
[12] After beating Masashi Noguchi in a stay-busy fight by a sixth-round stoppage on 1 September 2018, Abe was booked to face the unbeaten Daisuke Sugita in a Japanese title eliminator on 19 January 2019.
[13] Abe challenged the reigning Japanese featherweight champion Taiki Minamoto on 1 May 2019, in the main event of "Dangan 223" which took place at the Korakuen Hall.
[23] He utilized outfighting tactics to outbox Maruta for the majority of the fight, en route to winning it by unanimous decision, with scores of 118–109, 116–111 and 115–112.
[25] Abe made the first defense of his Japanese and WBO Asia Pacific titles against the undefeated Jinki Maeda on 3 December 2022.
[28] On 13 January 2023, the IBF ordered a final featherweight title eliminator between Abe and the former two-weight world champion Kiko Martínez.
[32] Abe was scheduled to challenge Luis Alberto Lopez for IBF featherweight title on March 2, 2024 in Verona, New York.