Even those who manage to save aren't putting away enough. As many as two-thirds of people in the U.S. don't have the recommended six months of expenses saved. The percentage of people with savings enough to cover at least three months shrank to 40 % in 2014, compared with 45%, a year earlier.

Despite Americans being more secure in their jobs and more comfortable with their debt since the recession ended, their savings capacity remains weak even among those with highest-income household. Only 46% of those with annual income of $75,000 or above have enough savings to cover six months of expenses.

"People are not making progress. Incomes are stagnating and expenses are high," said Greg McBride, Bankrate.com's chief financial analyst. He said that many people are still struggling with payments from the past years and high household costs.