The latest data from Zurich-based SNB comes at a time when Switzerland has begun sharing foreign client details after submission of evidence of wrongdoing by India and other foreign countries.
It has been facing growing pressure from India and many other countries to share foreign client details, although its own lawmakers were resisting such measures for a long time.
India has also constituted a Special Investigation Team (SIT) to probe cases of alleged black money of Indians, including funds stashed abroad in places like Switzerland.
The funds, described by SNB as 'liabilities' of Swiss banks or 'amounts due to' their clients, are the official figures disclosed by the Swiss authorities and do not indicate to the quantum of the much-debated alleged black money held by Indians in the safe havens of Switzerland.
SNB's official figures also do not include the money that Indians or others might have in Swiss banks in the names of entities from different countries.
As per the latest data, the amount held by Indians through fiduciaries has reached a record low level, while it used to be in billions till about 7 years ago.
According to the SNB data, funds held by the US entities in Swiss banks rose for the second consecutive year and stood at 244 billion Swiss franc at the end of 2014, despite a major crackdown by the American authorities against the Swiss banks.
A number of other countries also saw their exposure to Swiss banks increase during the year, resulting in the rise in overall funds held by foreign clients in Switzerland's banking institutions.
Such countries included UK, Germany, Italy and a number of other European jurisdictions.
The funds of Chinese persons also rose from 6.7 billion Swiss franc to 8.1 billion Swiss franc, while that from Pakistan rose from 1.014 million Swiss franc to 1,236 million Swiss franc.
Earlier, Indians' money in Swiss banks had risen in 2012 and in 2011.
The quantum of Indian funds in Swiss banks stood at a record high level of 6.5 billion Swiss francs at the end of 2006, but it declined by more than 4 billion Swiss francs after four straight years of fall till 2010.
For clients across the world, total funds in Swiss banks stood at a record high level of 2.9 trillion Swiss francs at the end of 2005, while the all-time high level in the US currency was recorded in 2007 at USD 2.4 trillion.
Amid allegations of Indians stashing huge amounts of illicit wealth abroad, including in Swiss banks, the Indian government has been saying that it was making various efforts to bring back the unaccounted money.
Swiss banks' total assets in India stood at 4.6 billion Swiss francs, including about 3.6 billion of the two big banks from Switzerland.