STOCKHOLM--Sweden's new finance minister on Thursday presented a proposed budget with a clear leaning to the left, signaling an intention to increase some taxes and raise spending on job creation programs, welfare and schools.

Social Democrat Magdalena Andersson, whose center-left party won power after elections last month, said her government wanted Sweden to have the lowest unemployment rate in the European Union by 2020 and limit the time young people would spend unemployed to 90 days.

To meet those goals the government will fund trainee jobs and education programs, the finance minister said. The initiatives will be funded in part by raising taxes on higher earners.

"This is a budget where we propose important reforms to bring down unemployment, break the [negative] developments at schools and invest more in the environment," Ms. Andersson said.

The tone of her message was in sharp contrast to that of her predecessor, the center right Anders Borg.

Mr. Borg's emphasis during his eight years as finance minister was on tax cuts on individual and company earnings with the aim of incentivizing work for the good of the overall economy.

While such moves were largely popular among voters, his perceived lack of focus on investing in Sweden's cherished welfare state ultimately cost him support at the ballot box in September.

Ms. Andersson chose to place more emphasis on the idea of solidarity saying her budget was about "holding Sweden together."

The budget also reflected the fact that the Social Democrats fell well short of an absolute majority at last month's elections and now govern in a minority coalition with the Green Party.

One area where Green Party priorities were noticeable was a proposal to spend public money on supporting efforts to better insulate ageing tower blocks to reduce energy consumption.

To get the budget through parliament the government also requires the backing of the Left Party, which was also reflected in Thursday's proposals.

Left Party leader Jonas Sjostedt told Swedish public radio the investment in increasing staffing levels at care homes for the elderly was an example of his party's influence over the Sweden's spending plan for 2015.

Write to Charles Duxbury at charles.duxbury@wsj.com

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