Mugabe rose to power after ousting the British-backed, white-ruled regime led by Ian Smith.
Zimbabwe holds its presidential election in March, and Robert Mugabe is determined to stay on.
Many in President Mugabe's party urged the MDC to do more to get the sanctions removed.
Zimbabwe's military intervention in Congo since 1998 has cost President Robert Mugabe's government millions of dollars.
President Mugabe has allocated the main ministries, including defence, home, foreign affairs, and justice to Zanu-PF.
Mugabe, in turn, used intimidation and brutality to quell any challenges to his rule.
CNN: Seeds of Zimbabwe's land conflict were planted more than a century ago
U.S. President Bush condemned Mugabe's presence at the event in a statement released Tuesday.
Mr Mugabe has railed against the country's judiciary as a racist vestige of British colonialism.
Mbeki has sided with Mugabe on the election issue, saying it was not a crisis.
Mr Mugabe insists that he won the election in June and must be recognised as president.
Is Mr Mugabe behind these alleged plots or does he just quietly endorse them?
ECONOMIST: Will Morgan Tsvangirai wield real power? Not yet, it seems
Equally notable was the failure of Mr Mugabe, their commander-in-chief, to comment on their snub.
ECONOMIST: Will Morgan Tsvangirai wield real power? Not yet, it seems
But a motion to censure Mr Mugabe was blocked by opposition from South Africa.
Few imagine that Mr Mugabe would hesitate to give the order to open fire.
"President Mugabe and his government of Zimbabwe bear full responsibility for these serious crimes, " Gagnon said.
Zimbabwe's Robert Mugabe wants to be the regional boss, and Zimbabwean businesses have investments in Congo.
Zimbabwe's opposition party, the Movement for Democratic Change, started impeachment proceedings against President Robert Mugabe .
Mr Kabila will not meet him, and Zimbabwe's Robert Mugabe will not even talk to him.
President Robert Mugabe, who now ranks alongside Africa's longest-serving rulers, has been in power since 1980.
He seems to want the awful Robert Mugabe ousted in Zimbabwe, though his pronouncements have varied.
Zimbabwe's president, Robert Mugabe, frequently promises one thing to donors and the opposite to domestic interest-groups.
Mr Mugabe's support comes from the Shona, who make up 75% of Zimbabwe's population.
But if Mr Mugabe goes peacefully, there will be a surge of international goodwill and aid.
The damage that Mr Mugabe has inflicted on Zimbabwe is grave, but it is not irreparable.
Given the state to which Mr Mugabe has reduced the country, a palace coup is possible.
After the election, Mr Mugabe wanted to reward his foot-soldiers and punish his enemies.
Mugabe's party has denied any part in the deaths, saying the MDC blames them frequently.
President Robert Mugabe's ruling party, ZANU-PF, did well in the rural areas, especially in the north.
But of course one doesn't know what Mugabe will do if he were defeated.
Mr Mugabe has promised price controls and measures to promote black ownership of businesses.
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