The offences will only apply to organisations and there will be no personal liability.
This bill was introduced in the last session and a motion was passed for it to be carried over into this session.
The Bill has been controversial for rejecting the radical proposals of individual liability called for by the trade unions in favour of a more moderate approach.
The Government has decided that companies as a whole are responsible for deaths and would face unlimited fines, individual managers and directors will not face jail.
Currently the law means that organisations can only be prosecuted if an individual at the top of the company is also found personally liable.
The Government argues the changes are required to better reflect the management structures of large organisations.
The Labour party lost a Trade Union-sponsored motion on corporate killing at this year's party conference.
TGWU leader Tony Woodley said the new rules were inadequate and company bosses were "getting away with murder".