Only 7% of businesses reported a key indicator of distress in the latest research carried out by insolvency trade body R3.
The finding represents a sizable fall in the level of distress from the last survey in September (18%) and replaces the previous record low of 22% from April 2015.
When the survey began in March 2012, 63% of businesses in the region were reporting indicators of distress.
Every indicator of distress also reported new record lows: regularly using maximum overdraft (6%), decreased profits (1%), having to make redundancies (1%), and less than one percent experienced fallen market share and decreased sales volumes.
Adrian Berry, chair of R3 in Yorkshire and partner at Deloitte LLP, said: “The level of businesses in distress has plummeted since our survey began in 2012.
“This isn’t surprising given the current state of the economy. There has been a reasonable level of growth in recent years and the record low interest rates have facilitated high liquidity.
“Reductions in fuel prices may also have cross-subsidised cost increases in other areas and assisted in keeping the pressure on costs low. These factors, combined with low inflation, are easing the difficulties of businesses.
“It’s particularly positive to see the drop in businesses experiencing decreased sales volumes and profits.
“Healthier profitability will help businesses stay on top of their cash flow and prevent over-reliance on credit.
“However, the recent volatility in the stock market, driven by worries over China, could be a sign that businesses might be in for a bumpier 2016.”
The long-running survey of UK businesses also found that growth was at a new record high - 65% of regional businesses reported at least one indicator of growth.
Berry added: “While it’s positive to see the proportion of those experiencing at least one indicator is at an all-time high, the results suggest that fewer firms are seeing multiple signs of growth.
“Many businesses underwent a period of rapid growth in recent years, but now have started to reach a plateau.”