Former Kenyan head of state Daniel arap Moi is to be summoned on 5 January to answer questions about the murder of former foreign minister Robert Ouko.
Moi presided over corruption and rights abuses
Parliamentary select committee chairman Gor Sunguh says they will also summon ex-minister Nicholas Biwott.
Police never solved the murder 13 years ago, though Mr Moi and Mr Biwott have always denied any involvement.
Mr Ouko's body was found three days after he went missing having been shot, doused with petrol and set alight.
He disappeared from his farm in western Kenya shortly after returning from a trip to the US.
Mr Moi's government set up and then disbanded investigations by both Scotland Yard and by the Gicheru Commission.
Mr Sungah told a news conference that in order for their committee to do their task properly, they needed to cover areas not covered in previous investigations.
"I see no point in doing the work that has been done at the Gicheru Commission... We need to bridge the gap and that's what we need to do," he said.
Moi's successor has set up a number of probes
Mr Moi has said in the past that he intends to co-operate fully with investigators looking into scandals that happened during his 24 year rule.
The former president is also expected to be summoned at some point before a commission investigating Kenya's biggest ever financial scandal.
The Goldenberg affair lost Kenya up to $600m through questionable exports of gold and diamonds between 1990 and 1993.