The CSA made the announcement in a terse statement after the board interviewed three shortlisted candidates for the position, although commentators have been saying that Lorgat was the top candidate.
"Mr Lorgat's appointment follows a thorough and rigorous process to fill this important position," CSA president Chris Nenzani said in the statement.
"The quality of the candidates was exceptional and I would like to express my appreciation to the sub-committee of the Board as well as my colleagues on the Board who have brought this matter to a highly satisfactory conclusion," he added.
Lorgat had been at loggerheads with the BCCI during his tenure at the ICC.
But earlier this week, reliable sources said Lorgat had received the approval of former BCCI president I S Bindra, who is also the president of the Punjab Cricket Association for the past 35 years.
This, coupled with a change of guard at BCCI ,including the departure of fierce Lorgat critic N Srinivasan, is believed to have eased tensions at CSA about the influence of the BCCI.