The packages allow employees to opt for a buyout or retirement, depending on how many years of service they have with the Toronto-based company.
However, Rogers said that its unionized workers are not eligible for the buyout packages, and neither are on-air talent and employees working for the Sportsnet network.
The workforce reduction comes after Rogers recently cut its capital expenditure plans by 30% compared with last year.
The company now expects to spend between $2.5 billion and $2.7 billion this year, down from an earlier forecast of up to $3.5 billion.
Rogers has said that it is struggling with increased competition in the wireless internet market, which is aimed at boosting competition and lowering prices for consumers.
Regulator the Canadian Radio-television and Telecommunications Commission (CRTC) has tried to boost competition by allowing smaller carriers to use larger networks for a fee.
At the start of this year, Rogers Communications had about 25,000 employees in Canada.
RCI stock has declined 26% over the last five years to trade at $36.53 U.S. per share in New York.