Upon leaving school in 1934, he became an office boy in one of his father's companies, the Latex Rubber Company. He took over as joint managing director in 1955 upon his father's death alongside his brother Valdemar. In 1977, he became deputy chairman of the Skellerup parent company. In 1982, he was handed full control by his brother not long before his brother's death.
Public office
Skellerup was first elected to Christchurch City Council in 1958 and served almost continuously until 1980. The Labour Party won the 1957 general election and upon the Second Labour Government being formed, several sitting city councillors received high-ranking positions in government and resigned from their local roles. This triggered the 1958 Christchurch local by-election, where four city councillor positions were contested by nine candidates. Skellerup, standing for the conservative Citizens' ticket, came fourth and was thus elected. In the 1959 Christchurch local election, the Citizens' ticket won all 19 city council seats, with Skellerup coming fifth. Skellerup came sixth in 1962. In the 1965 local election, Skellerup stood for both the city council and the mayoralty. He was decisively defeated by the mayoral incumbent, Manning, but came second in the city council election. In 1968, Skellerup stood for council only and came second. During this term, Skellerup lost his council seat over a technicality; he had breached the Local Authorities Act 1968. In the lead up to the 1971 election, Skellerup was publicly critical of the Citizens' mayor, Ron Guthrey, over his proposal to build a road through North Hagley Park. Skellerup had never been fond of Guthrey and as a past chairman of the Parks and Reserves Committee, he was extremely annoyed by Guthrey going behind his back and announcing the road proposal without checking with him first. At the election, Guthrey was defeated, Labour gained a majority on the city council, but Skellerup was the highest-polling council candidate by a large margin. The 1974 election was a turnaround, with Labour's incumbent Pickering defeated by the Citizens' candidate Hamish Hay. According to Hay, Skellerup was not considered as the Citizens' mayoral candidate over the furore that he had caused for Guthrey. The Citizens' ticket also gained a majority on the city council and from 1974 to 1980, Skellerup was deputy-mayor to Hay. Skellerup was also a member of the Lyttelton Harbour Board for twelve years, for three of those he was the chairman. Since 1964, he was Consul of Denmark, first for the South Island and later for all of New Zealand.