The processes e+e-→Ds+Ds1(2460)-+c.c. and e+e-→Ds∗+Ds1(2460)-+c.c. are studied for the first time using data samples collected with the BESIII detector at the BEPCII collider. The Born cross sections of e+e-→Ds+Ds1(2460)-+c.c. at nine center-of-mass energies between 4.467 GeV and 4.600 GeV and those of e+e-→Ds∗+Ds1(2460)-+c.c. at s=4.590 GeV and 4.600 GeV are measured. No obvious charmonium or charmoniumlike structure is seen in the measured cross sections.