Bebb-Jones admitted second-degree murder, telling police he killed his wife Sabrina in a "heat of passion".
BBC: British gambler Marcus Bebb-Jones jailed for US killing
Deputy minister Barry Brehaut and deputies Elis Bebb, David Inglis and Arrun Wilkie have also resigned.
Bebb-Jones entered his plea on Friday and is due to be sentenced on 1 May.
She explained that Bebb-Jones had pleaded guilty to second degree murder using a plea bargain.
Mr Bebb said it was a rarity for either to miss a rehearsal, let alone a concert.
Mr Bebb's colleague, Alun Cairns, focused on a government further from Westminster at Scotland Office questions before PMQs.
Guto Bebb, who represents Aberconwy, or David Jones, Clwyd West MP and a Minister in the Wales Office?
Vale of Glamorgan MP Alun Cairns joins Aberconwy MP Guto Bebb in supporting a backbench amendment in the Commons.
BBC: Vale of Glamorgan MP Alun Cairns joins Europe vote 'rebels'
Aberconwy MP Guto Bebb called it a "self indulgent debate" and an excuse to have "an attack on government".
Mrs Bebb-Jones's skull was found in 2004 near Douglas Pass in north-west Colorado.
Bebb-Jones had been living in Colorado with his wife and their son, Daniel, who was three when his mother vanished.
Conservative MP for Aberconwy Guto Bebb rejected the implication by opposition MPs that the coalition government "despises" the public sector.
Briton Marcus Bebb-Jones, 49, was arrested at his home in Kidderminster, Worcestershire, in 2009 and extradited to Colorado two years later.
BBC: British gambler Marcus Bebb-Jones jailed for US killing
Having refused to speak to US police, Bebb-Jones moved back to the UK with his son in 1998 after selling the hotel.
BBC: British gambler Marcus Bebb-Jones jailed for US killing
Conservative MP Guto Bebb argued that the rules being applied to social housing tenants were already in place in the private sector.
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Marcus Bebb-Jones, of Kidderminster, Worcestershire, had previously denied killing Sabrina Bebb-Jones in 1997 and dumping her body in a US national park.
It is understood Bebb-Jones has blamed the murder on "heat of passion".
They went unopposed to Deputy Sandra James and Deputy Martin Storey and two former board members, Deputy Elis Bebb and Deputy Barry Brehaut.
Andrew Bebb, who farms near Hanwood in Shropshire, described the investment as "brilliant news" and a "vote of confidence in UK milk producers".
However, speaking to the BBC's Sunday Politics Wales, Mr Bebb said he would argue that his position was "the mainstream of the Conservative Party".
BBC: Vale of Glamorgan MP Alun Cairns joins Europe vote 'rebels'
Andrew Bebb, who farms near Hanwood in Shropshire, said it was "good news", but still not enough to allow many farmers to break even.
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Choir chairman David Bebb paid tribute to their longest serving members.
Mrs Bebb-Jones's skull was found in 2004 in a national park.
BBC: British gambler Marcus Bebb-Jones jailed for US killing
The couple owned the Hotel Melrose in Grand Junction and Bebb-Jones moved back to the UK with his son in 1998, after selling the hotel.
The remaining four seats went unopposed to Deputy Sandra James and Deputy Martin Storey and two former board members, Deputy Elis Bebb and Deputy Barry Brehaut.
Some 12 years after Sabrina's disappearance, a warrant was issued for Bebb-Jones' arrest in the US for murder in the first degree, concealing death and domestic violence.
BBC: British gambler Marcus Bebb-Jones jailed for US killing
According to court documents, four days after Bebb-Jones arrived in Las Vegas his toddler son was found alone in a hotel room and taken into state care.
BBC: British gambler Marcus Bebb-Jones jailed for US killing
Sion Bebb failed in his bid to qualify from the Sunningdale field after his overall three-under par score meant the Welshman was tied 21st in international final qualifying.
His place in the Johnnie Walker Championship has been taken by Welshman Sion Bebb, who will play with Colin Montgomerie and last year's Volvo PGA champion Scott Drummond.
On Wednesday, District Attorney Sherry Caloia said Bebb-Jones had made a plea bargain, admitting murder in the second degree in exchange for a sentence of no more than 20 years.
BBC: British gambler Marcus Bebb-Jones jailed for US killing
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