The group has more than 100,000 members and runs social activities such as lunches, coffee mornings and day trips, as well as helping its members with legal aid, funeral services and emergency financial aid.
The agency, which won the work after it pitched against a specialist online agency, has secured a 12-month contract.
Oddfellows, a not-for-profit society, is planning to launch an online membership campaign and extensive web archive this year.
It has called in the Liverpool-based agency to raise the profile of the society overseas and increase its international membership. The agency will particularly focus on generating awareness through blogs, forums and social media.
Oddfellows wants to stress that it is still as relevant today as it was when it was founded, 200 years ago.