Security forces on Wednesday fired tear gas to disperse thousands of protests in Omdurman, twin city of Sudan capital Khartoum, demanding al-Bshair’s ouster.
The marchers chanted anti-Bashir slogans on several main streets in the city before they were charged on by Security forces near the Sudanese Parliament.
According to the Committee of Sudanese Doctors, four protesters injured, one of them seriously.
The march called by Sudanese professional unions along with opposition parties to put pressure on the long-term ruler to resign and form a transition government .
It came a few hours after President Bashir addressed crowds of his supporters in the capital Khartoum following widespread protests against him throughout the country.
Basher once again blamed the oppositions for spearheading moves to oust him undemocratically.
“We emphasize… whoever wants power…we don’t have problem but it is the Sudanese people who should decide through free and fair elections” he said.
Sudan has been under biting economic hardship since the independence of South Sudan in 2011, took 75 percent of oilfields which was the mainstay of the economy.
Decades of US-led sanctions had not helped to assuage the plight of ordinary Sudanese many of whom took to the streets last month over a protracted shortage of bread and petrol.
Inflation last September jumped to 66.82 percent.
Bashir came to power in a military coup in 1989.
Since then the country has seen only two presidential elections in which he was declared the winner despite accusation by the opposition of widespread electoral fraud.