In all, there were 1,585 "suspicious activity reports" for 2012 involving 3.15 billion Swiss francs (USD 3.3 billion) just six of the reports accounted for almost half of all the money.
The past two years have seen an almost 50 per cent jump in the number of cases compared with previous years.
Two-thirds of the cases were linked to banking, and more than 200 cases involved more than 100,000 Swiss francs (USD 104,000). The rest were mainly tied to payment services, fiduciary and asset managers.
Authorities have set up police units and task forces to crack down on fraud, bribery and other financial crimes and to hunt for so-called dictator assets.
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The government also has signed deals with other nations to provide greater assistance to foreign tax authorities seeking information on their citizens' accounts.
One of the terrorist-financing cases in 2012 involved 7.45 million francs (USD 7.8 million) and accounted for nearly all of the money that police investigated in connected with suspected terrorists, the Swiss federal police office reported.
Probes by the police office led prosecutors to open 13 terror financing cases connected to money laundering, membership in a criminal organization or other offenses, the report said. One of the cases has since been suspended.
Of the 15 terror cases, the money sent by banks, asset managers and a money transmitter went to eight Russians, six Lithuanians and one American.
Half the clients sending the money were from Switzerland; the others were from Cyprus, Sri Lanka and the United States.
Three involved the suspected misappropriation of foreign public funds, police said, while two were connected to suspected document forgery and fraud and one concerned an alleged crime group from Asia.
Most of the cases were initially reported by a financial intermediary banks, credit card companies, casinos, currency exchanges and others or were based on newspaper reports or information from other third parties such as financial compliance databases.