Mandela died at the age of 95 at his home in Houghton, Johannesburg, on December 5 last year.
The silence was observed around 10am, before the start of the media briefing.
Tshabalala was due to address the media after Parliament’s communications portfolio committee resolved to call for her removal from office.
On Wednesday, the committee inquiry into whether Tshabalala lied about her academic qualifications found her guilty on two charges of misconduct.
Tshabalala was given 14 working days to respond to the committee’s report, which contained its findings and recommendations. Both documents would then be sent to National Assembly for approval.
The committee made its decision after a University of SA (Unisa) official told the inquiry its records showed that although Tshabalala registered for both a BComm degree and a labour relations diploma, she failed to obtain either qualification.
Unisa executive director for legal services Jan van Wyk testified that Tshabalala registered for her BComm degree in both 1988 and 1996, but did not complete her studies.
She registered for a diploma in labour relations in 1995. But her results were so bad that she could not be readmitted again. She scored 35 percent for a labour relations module and 13 percent for a human resources module.
The first charge of misconduct relates to her stating on her CV that she obtained the two qualifications when she applied for the job as SABC chairwoman.
The other charge relates to an affidavit she submitted to Parliament stating her qualifications had been stolen during a burglary at her home.
On Thursday, the Democratic Alliance laid a charge of perjury against Tshabalala for lying about the theft of her certificates.