In a message posted on her Facebook page on Sunday morning, Ms Yingluck said the problems in the country have become more complex and cannot be solved in just one day.
"I admit that an election may not be a panacea, but it is the best medicine for solving problems in the democratic system which must be taken along with other measures including the country's reforms and preparedness of local administrations.
"Without going with this method, the country would have no other way out as since the House dissolution the government cannot do anything much to solve economic problems. We cannot use government spending to push forward gross domestic product and the country's economy, thus affecting future investments in the private sector.
"As we can see, many flights bringing tourists to the country have been cancelled. Many countries have issued travel advisories warning their citizens against travelling to Thailand. These are not good for the country," Mr Yingluck said.
The caretaker prime minister pleaded for the people to exercise restraint and allow the government to take its time to solve problems.
She repeated her call for the people to exercise their election rights under the democratic system.
"If you don't want this government to return, you have to fight for this through an election. We should turn away from staging a rally to monitor the government's performance and use forums for the country's reforms to bring about an election, which is transparent and free of vote-buying, and eradicate corruption among politicians and government officials as well as in the private sector," she said.
Ms Yingluck added that to achieve these objectives there must be a government and parliament to push for amendments to relevant laws.
"I don't want to see a recurrence of the 2010 violence or an economic crisis in which the country is deeply indebted and plagued with problems involving crime, drugs and unemployment because of the shutdown of businesses and relocation of production bases by foreign investors," she added.