The alliance dominated by Hasina's Awami League won 287 of the 298 seats for which results have been declared in the 300-member legislature, according to the commission cited by the local TV channel, NTV.
Meanwhile, over 40 opposition politicians withdrew from the parliamentary election citing widespread electoral fraud, local media reported.
Bangladeshi citizens elected 300 members of the country's unicameral legislature earlier on Sunday. The polling stations opened at 8:00 a.m. local time (2:00 GMT) and closed at 4:00 p.m. local time.
A total of 47 politicians announced withdrawal of their candidacies from the general election, including at least 42 politicians from the opposition Jatiya Oikya Front (National Unity Front), the Daily Star newspaper reported.
Kamal Hossain, the leader of the Jatiya Oikya Front alliance, in turn, said that the Bangladeshi opposition did not recognize the election's results and requested the holding of another election.
"We have gotten similar reports of voter fraud from almost all centres… We reject the results and demand a new election under a neutral government," Hossain said as quoted by Bangladesh's Bdnews24 news portal.
At least 17 people were killed and over 60 others were injured in clashes during the parliamentary election in the country on Sunday. The clashes between representatives of various political forces were recorded in the Bangladeshi cities of Chittagong, Comilla, Dinajpur, Rajshahi and Rangamati. As many as nine people have been detained in connection with clashes.
The definitive results are expected to be made public on Monday.