ISLAMABAD — Pakistani officials struck a deal with a fiery Muslim cleric on Thursday to end four days of antigovernment protests by thousands of his supporters that largely paralyzed the capital and put intense pressure on the government.

The demonstration came at a time when the government is facing challenges on several fronts, including from the country’s top court. The Supreme Court ordered the arrest of the prime minister earlier in the week in a corruption case, but the government’s anticorruption chief refused to act on Thursday, citing a lack of evidence.