"Questions have also arisen concerning potentially manipulative transactions in the company's stock in November 2017," the release said.

The commission cited concerns about the "accuracy and adequacy of information in the marketplace about, among other things, the compensation paid for promotion of the company, and statements in Commission filings about the plans of the company's insiders to sell their shares of The Crypto Company's common stock."

The suspension will last until midnight Jan. 3, according to a release.

The U.S. Securities and Exchange Commission temporarily suspended trading Tuesday in shares of The Crypto Co ., whose stock has surged more than 2,700 percent this month.

The Crypto Co. did not immediately respond to a CNBC request for comment. The latest jump in its share price gives the company a market value of more than $11 billion, according to FactSet. The company's shares last traded at $575.

"There are a lot of companies taking advantage of the euphoria associated with this space, and we do not want be associated with them," CEO Mike Poutre said in a release last week announcing a 10-for-1 stock split. "We want people to pay attention to the business we are building, not the hype of a stock or the cryptocurrency world."

On Dec. 4, the California-based company announced it had launched the first phase of trading operations and platforms for digital currencies.

Crypto Co. was incorporated in March and its stated businesses include advising, investing and trading digital assets, according to a filing. The company went public in June by acquiring Croe, which says on its website that it is "a developmental stage fitness apparel company," primarily for sports bras.

Bitcoin traded 3.9 percent lower Tuesday near $18,150 on Coinbase, the leading U.S. platform for buying, selling and trading major cryptocurrencies. The digital currency itself has soared 2,000 percent in the last 12 months.

Several other small companies have seen their stock surge dramatically after announcements that tied them to bitcoin or the blockchain technology behind the cryptocurrency.

Financial technology company Longfin grabbed investors attention Monday with a brief two-day surge of more than 2,500 percent after saying it was acquiring Ziddu.com, which says it's a microlending company based on blockchain. Longfin's CEO and Chairman, Venkat Meenavalli, said Monday on CNBC's "Fast Money" that "this market cap is not justified."

The SEC has been more active in trying to limit speculative activity related to bitcoin and token sales, also known as initial coin offerings.

The commission's chairman, Jay Clayton, warned in a lengthy statement earlier this month about the dangers of investing in cryptocurrencies and initial coin offerings.

In August, the SEC temporarily suspended trading in three stocks due to questions about the companies' claims regarding investments in initial coin offerings or other token-related news. The agency also published an investor bulletin in July warning investors about the risks of participating in initial coin offerings.