[2] Born in Uttar Pradesh, and was selected for Guru Gobind Singh Sports College, Lucknow as an trainee athlete when he was in 6th standard in school.

[6] He made his professional debut in the 2018–19 I-League season against Shillong Lajong FC on 13 January 2019 as a substitute for Rohit Danu,[7] which ended in a 0–3 victory for Indian Arrows.

[17] On 16 October 2020, it was announced that Hyderabad FC have signed Akash Mishra, along with Rohit Danu and Biaka Jongte under a three-year contract.

[25] On 21 June 2022, Hyderabad FC announced that Akash Mishra has penned a new three-year contract extension till the end of the 2024–25 season.

[26] However, during his stay in Japan, the possibility of joining J2 League side Machida Zelvia came out[27] but he was retained by Hyderabad and appeared in pre-season training ahead of the 2022 Durand Cup kickoff.

On 19 June 2023, Akash left Hyderabad to join Mumbai City FC,[28] for a record transfer fee for an Indian player of Rs.

[34] After serving his ban, Akash returned to the team, playing the full 90 minutes at left-back away against East Bengal FC in an eventual 1-0 win for The Islanders.

[36] In the ISL playoffs, Akash started the first leg away against FC Goa on 24 April, but was forced to be substituted in the 13th minute due to injury.

[37] Mumbai City FC later confirmed that Akash had suffered an Anterior cruciate ligament injury which required surgery to repair, which would rule him out for the rest of the 2024 calendar year.

[51][52] He was then called-up for the Indian squad to play their rest of the matches in the 2022 FIFA World Cup qualifiers against Qatar, Bangladesh and Afghanistan respectively.

[56] His coach at Hyderabad, Manolo Marquez, praised him, after he made his debut for the club in the post-match conference by adding, "I think he [Akash] is a very quiet player.