I filled on Tax form that my exemption is -1-, but my husband's accountant want me to change exemption is -0-, so I want to know why I have to change? What is different between 0 and 1?

Please carify - are you asking about exemptions claimed on your tax return (I would assume because you are filing as Married Filing Seprately), or are you asking about "allowances" on your W4 form at work?