Californian authorities filed felony charges against Mason Sheppard, 19.
The UK's National Crime Agency (NCA) confirmed it had searched a property in Bognor Regis with police on Friday.
A teenager in Tampa and Nima Fazeli, 22, of Orlando, were also charged in Florida.
US Attorney David L Anderson said the arrests proved "nefarious hacking... for fun or profit" did not pay off.
Twitter accounts of multiple high-profile US figures were hijacked in an apparent Bitcoin scam on 15 July.
They included former President Barack Obama, Amazon boss Jeff Bezos, entrepreneur Elon Musk, Microsoft founder Bill Gates, Democratic presidential hopeful Joe Biden and reality star Kim Kardashian West, who all falsely tweeted out requests for Bitcoin donations.
In his statement, US Attorney Anderson said: "There is a false belief within the criminal hacker community that attacks like the Twitter hack can be perpetrated anonymously and without consequence."
He added: "Criminal conduct over the Internet may feel stealthy to the people who perpetrate it, but there is nothing stealthy about it. In particular, I want to say to would-be offenders, break the law, and we will find you."
In Florida, Hillsborough State Attorney Andrew Warren filed 30 felony charges against the teenager, 17, who cannot be named, for "scamming people across America".
The charges include organised fraud and fraudulent use of personal information.
"As a crypto-currency, Bitcoin is difficult to track and recover if stolen in a scam," Mr Warren said.
"These crimes were perpetrated using the names of famous people and celebrities, but they're not the primary victims here. This 'Bit-Con' was designed to steal money from regular Americans from all over the country, including here in Florida.
"This massive fraud was orchestrated right here in our backyard, and we will not stand for that."