Sex offender laws vary by state, but usually, they only require the person to register where they live.  However, some states have expanded registration requirements to include requiring convicted sex offenders to register their vehicles and places of employment.  Out of an abundance of caution, you should set up a meeting with the local police department where your employer is located to see exactly what they require.  Considering the stiff penalties for failing to register, it's much better to be safe than sorry.  If you do not want to contact the other registration unit, then you may want to repost your question and specify the two states (not just the one) so we can advise you exactly what the registration requirements are for both states.