The 68-year-old, whose real name is David Patrick Griffin, is accused of committing the offences between 1977 and 2007 against alleged victims aged between 15 and 29.
His lawyer Martin Bale released a statement to say: "Mr Travis is naturally disappointed that charges have been preferred and we will be taking stock of the position in the coming weeks once we have full details of the prosecution case.
"Mr Travis denies the allegations and looks forward to having the opportunity to clear his name."
He is due to appear at Westminster Magistrates' Court on August 23.
Travis, from Mentmore in Bedfordshire, has consistently maintained his innocence since he was first arrested in November, and then re-arrested after further allegations emerged in March.
After his arrest over the additional allegations, he said: "The last four months have been extraordinary.
"Allegations which I strongly deny have been put to me by the police and to which I have given full and complete answers. I have fully co-operated and my conscience is clear."
He was charged as part of Operation Yewtree, the police investigation prompted by the Jimmy Savile abuse scandal, but the accusations against Travis have no connection to the disgraced presenter.
Jessica Standley, a solicitor from legal firm Slater & Gordon that is representing a number of Travis' alleged victims, said her clients were "relieved" at the charging decision.
Prosecutors have decided that no further action should be taken in relation to seven separate allegations made against the DJ because there was not enough evidence.
Chief Crown Prosecutor for CPS London, Alison Saunders, said: "We have determined that there is sufficient evidence for a realistic prospect of conviction and that a prosecution is in the public interest."