Enayetur was born on February 28, 1951, in
Kaliganj,
Dhaka. He started his football career in 1967, playing for
Fakirerpool YMC in the
Second Division. He later went onto have a short spell at East Pakistan Government Press in the
First Division. In 1970, Enayetur joined
Victoria SC, where he scored 17 goals in his debut year. His career came to a standstill, as he had to return to Kaliganj when the
1971 Liberation War commenced. After the war was over Enayetur joined
BIDC, in 1972. During the 1973 league deciding match against
Dhaka Wanderers Club, Enayetur struck a brace to make BIDC the first league champions in independent Bangladesh, after the previous season ended unfinished. Early on in the game BIDC had fallen 2 goals behind, Enayetur scored a
knuckleball free kick past
Shahidur Rahman Shantoo, who was the country's top goalkeeper at the time. He went on to score another goal, and would have had an hattrick if his third goal was not ruled out for being offside. He later set up the winner scored by
Wazed Gazi, as BIDC won the game 3–2. He spent the subsequent year with
WAPDA SC before returning to BIDC who were then renamed as Bangladesh JMC (BJMC), and spent three more years at the club. In 1978, Enayetur joined
Mohammedan SC. He became the top scorer in the 1978 league with 13 goals, guiding his team to the league title. However, he did not complete his second season at the club as, Enayetur was banned for 5 years after physically attacking referee Dalil Khan during a First Division game against his former club Victoria in 1979. Nonetheless, the ban was later lifted by the
Bangladesh Football Federation within months. Enayetur hung up his boots while playing for
Rahmatganj MFS in 1981. Regarding his attack on the referee, Enayetur said (). ==International career==