One-dimensional (1D) magnetoelectric multiferroics are promising multifunctional materials for miniaturized sensors, actuators, and memories. However, 1D materials with both ferroelectricity and ferromagnetism are quite rare. Herein, using first-principles calculations, a series of fullerene-based 1D chains, namely U2C@C-80-M (M = Cr, Mn, Mo, and Ru) 1D chains with both ferroelectric (FE) and ferromagnetic (FM) properties is designed. Compared to individual U2C@I-h(7)-C-80, the spontaneous polarization (Ps) in 1D chains is enhanced by about two to four times owing to the interaction between U2C@I-h(7)-C-80 fullerene and M (M = Cr, Mn, Mo, and Ru) atoms. Meanwhile, the introduction of transition metal atoms dopes electrons into U's 5f orbitals, leading to numerous intriguing magnetic properties, such as U2C@C-80-Cr and U2C@C-80-Mo as 1D ferromagnetic semiconductors, U2C@C-80-Ru as 1D ferrimagnetic (FiM) semiconductor, and U2C@C-80-Mn as 1D antiferromagnetic (AFM) semiconductor. Excitingly, it is found that magnetic ordering and electrical polarization can be modulated independently by linking different transition metal atoms. These findings not only broaden the range of 1D multiferroic materials, but also provide promising candidates for novel electronic and spintronic applications.