Rimsevics' lawyer, Saulvedis Varpins, told Latvian state television that the governor had been detained at 6.15 p.m. (1615 GMT) on Saturday after he arrived for questioning at the offices of the anti-corruption agency.
"So in his case, of course, I think that he should himself (resign)".
The anti-corruption agency says the criminal investigation is not related to money-laundering accusations levelled against the country's third largest bank, ABLV, by the US Treasury.
The confusing, rival claims of wrongdoing will deepen worries about the transparency of parts of Latvia's banking sector, which have close financial links to former colonial master Russian Federation.
Latvian central bank head Ilmars Rimsevics released on bail
On the background of this raid, Latvia's Prime Minister, Maris Kucinskis, called an emergency cabinet meeting. He denies having demanded a $120,000 (£85,000) bribe.
US allegations that a leading bank engaged in money laundering and helped breach North Korean sanctions have also turned a spotlight on Latvia's financial system in recent days.
He explained that both he and finance minister, Dana Reizniece-Ozola, are closely following case and Monday morning an extraordinary Council of Ministers will be held to discuss situation of Latvian banking system.
"We don't participate in any illegal activities", ABLV Bank Deputy CEO Vadims Reinfelds told a news conference.
That followed statements from the Financial and Capital Market Commission in Riga and the European Central Bank, which issued statements that they would limit debit transactions from the lender.
ABLV Bank said it will make every effort to disprove the allegations. The bank denies the allegations.
Rimsevics accused a group of banks of trying to undermine him, deceiving law enforcement and regulators. Five Latvian banks, including ABLV, agreed past year to record fines for failing to perform adequate due diligence and gather sufficient information on transactions and beneficiaries of deals linked to North Korea.
Florida school shooter 'could plead guilty to avoid the death penalty'
Sheriff Israel said on Wednesday that Cruz used at least one firearm - an AR-15 rifle - and multiple magazines in his attack. It only happens here not because of coincidence, not because of bad luck, but as a outcome of our inaction".