The withdrawal led to the recent increases in the prices of petroleum products by the National Petroleum Authority (NPA).
Mr Ayariga Osman Abdulai, President of NUGS, made the call at a press conference in Accra.
He noted that some drivers and traders were taking advantage of the increases to cheat the people and appealed to Ghana Private Road Transport Union (GPRTU) of Ghana Trades Union Congress to educate their drivers not to charge exorbitant fares.
Mr Ayariga announced that NUGS would not embark on any demonstration to force government to revert to four years of Senior High School.
He commended the Government for the establishment of two universities in the Volta and Brong Ahafo Regions to help reduce the burden on public universities during admissions.
Mr Ayariga appealed to the Government to improve conditions and facilities in the public universities to facilitate teaching and learning and fulfil its promise to provide office accommodation for the Union.