In January, U.S. State Department spokesman Darby Holladay added that Iran violated "the universal right of freedom of religion."
At trial, the pastor appeared with his attorney in a Revolutionary Guard Court to address charges of attempting to undermine the Iranian government, but his attorney apparently was shut out of some proceedings.
The group contends that charges stem from Abedini's conversion to Christianity from Islam 13 years ago and his activities with home churches in Iran.
The judge in the case has faced sanctions by the European Union "because of his harsh sentences for those on trial for exercising a fundamental human right," the center said.
Naghmeh Abedini has previously said that a few laymen with the Christian church in Iran told her husband's attorney that they had been called to testify in the case.
In January, the Iranian state-run news agency ISNA reported that the pastor would soon be released on bail, which Naghmeh Abedini said at the time was "clearly a lie."
His wife has said he felt that it was safe to go back repeatedly because he had had no dealings with the authorities since he promised to stop working with Christian home services.
Once he even went with his wife and two children. His wife is also a convert to Christianity from Islam, and they received threats during the most recent family visit, so she took the children home. He returned to their home in Idaho later.
Last summer, the pastor was on a bus that was crossing from Turkey into Iran. Immigration officials took away his passport and he was later put under house arrest.