Ed Casey will continue to lead the company as Chief Executive in the interim.
"Serco Group plc is pleased to announce the appointment of Rupert Soames OBE as Group Chief Executive with effect from 1 June 2014, at which point he will join the Serco Group plc Board," the firm said in a statement.
At present, Soames is the Group Chief Executive of Aggreko a support services company.
Prior to joining Aggreko, Soames was Chief Executive of Banking & Securities division of Misys Group.
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His target and maximum bonus opportunity will be 75 per cent and 150 per cent of base salary, respectively and will be linked to the achievement of financial and non-financial targets.
He will also be eligible to receive a performance share plan (PSP) award of 200 per cent (maximum) of base salary, which will be subject to three-year performance targets.