The influences of Fe-doping on the magnetic structure, correlated lattice variation, and electronic transport of the antiperovskite compounds Mn3Sn1-xFexC have been reported for the first time. The results indicate that Fe-doping is effective in altering the magnetic behaviors in the Mn3Sn1-xFexC compounds. The magnetic phase transition point (TC) initially shifts to lower temperatures at low Fe-doping concentrations and then increases to higher temperatures at higher Fe-doping levels. This change is accompanied by the development of macroscopic ferromagnetism in the compound, which is essentially due to the emergence of a new canted ferrimagnetic phase named MCF, revealed by neutron powder diffraction (NPD). By virtue of the Fe-doping effect on the magnetism, the regulation of the negative thermal expansion (NTE) behavior and the abrupt change of resistivity in Mn3SnC are also realized. Based on these results, a magnetic phase diagram for the Mn3Sn1-xFexC series is established. This work not only provides a method for effective regulation of magnetic ordering but also strengthens our understanding of strongly correlated physical properties.