A connector with a sheet has a housing mated with another connector, a terminal secured to the housing and contacting another terminal on the other connector, and a sheet affixed to the housing. The sheet has a laminate structure which includes a soft magnetic layer having real parts of complex relative permeability at 100 MHz of from 20 to 45, and a conductive/dielectric layer having an electrical resistance of from 0.5 to 20 Ω·cm.