Parliament can, however, renew the measure.
Bashir declared the nationwide state of emergency, the first since 1999, on February 22 to try to quell demonstrations that have posed the most serious challenge to his three-decade rule, Pressv Reported.
Parliament's deputy speaker Ahmed Attijani said some lawmakers objected to the state of emergency because of its implications for freedoms, particularly given Sudan is due to hold a presidential election next year.
The state of emergency gives security services expanded powers to search buildings, restrict movement of people and public transport, arrest suspects and seize assets or property during investigations.
In the days after its imposition, Bashir announced a raft of other measures, including setting up emergency courts and prosecutors across the country. Activists say more than 800 people have been tried in the courts.
"We reject the (state of) emergency completely and these measures will not stop the popular mobilization," said Omar al-Degair, head of the opposition Sudanese Congress Party.
Near-daily demonstrations set off by a worsening economic crisis have shaken Sudan since December 19.
Protesters have called for Bashir to go, blaming him for the country's problems. He has pointed a finger at "infiltrators" and foreign "agents."