Bishop Martin will be formally 'introduced' by the Bishop of Norwich, Graham James, and the Bishop of Chelmsford, Stephen Cottrell.
They will ceremonially welcome him into the second chamber as of parliament and he will make maiden a speech in the future.
He will join 25 other Bishops in the Church of England as the newest member of the 'Lords Spiritual' who vote on bills passed by MPs in the House of Commons.
Bishop Martin said in a statement: "I look forward to joining others from Sussex who serve in both houses at Westminster, and to sharing in the Church of England's contribution to the national life through Parliament".
