Workers with health savings accounts and health reimbursement accounts aregetting a little help from their employers.

So much, in fact, that the percentage of employers contributingto their employees’ health accounts reached its highest level inyears, according to the Employee Benefit Research Institute.

Nearly three-quarters (71%) of workers with a HSA or an HRAreported that their employers contributed to the account in 2013,the highest level since EBRI began surveying health account holdersin 2005.

That, and other findings about health accounts, comes from thelatest annual EBRI/Greenwald & Associates Consumer Engagementin Health Care Survey.

Contribution amounts from workers and employers — though stillfairly constant — took a slight hit in the past year.

Among workers with employee-only coverage and an employercontribution, the percentage reporting that their employerscontributed $1,000 or more slipped from 28% to 23% in 2013.Similarly, on average, workers with employee-only coverage droppedtheir HSA contribution levels last year.

But health savings holders with family coverage keptcontribution levels relatively steady. While both lower- andhigher-income individuals lowered their contributions in 2013,lower-income individuals were less likely to contribute thanhigher-income individuals.

Employer contribution levels among workers with family coveragewere mostly unchanged, too.

According to EBRI's report, 11.8 million adults’ ages 21–64(9.7% of the population) were enrolled in a plan with an HRA or HSA in 2013.

An additional 9.3 million reported they were covered by anHSA-eligible plan but had not yet opened the account, meaning thatabout 21 million adults ages 21-64 with private insurance wereeither already in a CDHP or covered by an HSA-eligible plan. Whentheir children were included, 26.1 million individuals with privateinsurance, representing 15% of the market, were either in a CDHP oran HSA-eligible plan, EBRI reported.

Last week, investment consulting firm Devenir reported that HSAsgrew to an estimated $19.3 billion in assets and 10.7 millionaccounts at year-end 2013 and have grown to more than $20 billionin assets during January.