"We have started to register some success on the security front and can say that the situation is now more reassuring," he said. "A political solution can not be put in place if security is not preserved."
He said local elections would be held in December, to be followed by parliamentary polls in February after a new law on political parties comes into effect this week.
He also ruled out bowing to Western demands.
"When they speak of reforms, Western colonialist countries mean that we must give them everything they want, that we abandon resistance, that we abandon our rights ... They shouldn't even dream of it ... We will not bow."
Assad's television appearance was his first since June 20, and only his fourth since the start of pro-democracy demonstrations in mid-March, and came after several world leaders urged him to quit.
US President Barack Obama called on Thursday for Assad to stand down, a demand quickly echoed by the leaders of Britain, France and Germany and Spain.
The UN mission began its first full day in Damascus on Sunday, arriving the previous evening to assess humanitarian needs in the wake of the crackdown which have left more than 2,000 people dead.
The team, led by the head of the Geneva bureau of the UN Office for the Coordination of Humanitarian Affairs, Rashid Khalikov, began its mission and will stay until August 25, said OCHA spokeswoman Elisabeth Byrs.
Speaking on the telephone from Geneva, she said the mission's objectives were "to see how the UN can support public services and how it can respond to possible humanitarian needs," such as electricity, drinking water, communications and health.
The visit comes after 34 anti-regime protesters were killed on Friday by security forces as anti-regime rallies gripped the country after weekly Muslim prayers, according to the Britain-based Syrian Observatory for Human Rights.
It said about half of the deaths were in Homs province, where tanks rumbled into the central city of the same name on Saturday.
Meanwhile, the International Committee of the Red Cross expressed hopes its delegates would soon visit Syrians jailed since the start of the protests.
"There have been discussions with the authorities and we are confident that we will be able to start the visits very soon," Red Cross spokesman Saleh Dabbakeh told AFP in the Syrian capital without elaborating.
Rights groups say that more than 10,000 people are behind bars in Syria, which has been gripped by almost daily anti-regime protests since mid-March.
Cracks meanwhile appeared among opponents of Assad as dissidents met in Istanbul to launch a "national council" to coordinate the fight against his regime.
"Calls for the formation of transitional councils or governments in exile at forums held inside (Syria) and abroad, have had nefarious and negative repercussions on the Syrian revolution," said the so-called Syrian Revolution General Commission which announced its creation Friday.
The latest anti-government rallies on Friday and Saturday put to the test assurances given by Assad to UN chief Ban Ki-moon on Thursday that his security forces had ended operations against civilians.
The UN High Commissioner for Human Rights, Navi Pillay, said Friday that there was now "evidence" of "crimes against humanity" committed in Syria, calling on the Security Council to seize the international justice.
In Brussels, diplomats said on Sunday that EU governments have "as good as" wrapped up a key deal to ban imports of Syria's crude oil.
New legislation drafted over the weekend includes "restrictive measures in the area of oil, notably an embargo on the import of Syrian crude oil," according to an agreement reached by European Union ambassadors.
"It's not a done deal yet, but it's as good as," a well-placed EU source told AFP. "The 27 states tasked the EU with preparing the ban, and on Tuesday we will put the formal legislation on the table," he said.
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