Prince Khaled bin Sultan has been removed from his post, replaced by Prince Fahd bin Abdullah bin Mohammed bin Abdulrahman.
Musallam al-Barrak, a former member of parliament, was sentenced to five years in jail this week, sparking protests.
Formula One’s commercial supremo Bernie Ecclestone will attend the race.
King Abdullah announced the SAR250 billion scheme in 2011 to build 500,000 housing units over several years
Prime Minister Sheikh Hamad bin Jassim al-Thani was speaking during a conference in Berlin.
The 82-year-old British billionaire has said repeatedly that he has no cause for concern ahead of the Bahrain GP.
A 6.3-magnitude earthquake struck close to Iran’s only nuclear power station last week, causing fears of a radiation leak.
The Gulf Arab state has been hit by unrest since pro-democracy protests broke out in early 2011.
The gas-rich Gulf state has already provided Cairo with $5 billion in loans and grants since Egypt’s Islamist President Mohamed Mursi was elected last year.
Representatives from over 30 nations will gather in Bahrain to practise minesweeping and escorting ships.
Baroness Thatcher became the first female prime minister for the United Kingdom in 1979.