In most civil cases, a notice of appeal must be served upon the adverse parties and filed in the court where your case originated within 30 days after service upon the appellant of a copy of the judgment or order to be appealed with written notice of its entry, except that when the appellant has served a copy of the judgment or order with written notice of its entry, the appeal must be taken within 30 days thereof (CPLR 5513[a]).

In small claim and commercial claim cases commenced in the New York City Civil Court, or in the District, City and Justice courts outside of New York City, the 30-day period within which to take an appeal begins to run when(1) the court served the order or judgment upon the appellant, (2) a party serves the order of judgment upon the appellant, or (3) the appellant serves the order on the party, whichever occurs first (NYC Civil Court Act § 1703[a]; Uniform City Court Act § 1703[a]; Uniform District Court Act § 1703[a]).

A motion for permission to appeal must be made within the same time limits and, if permission to appeal has already been denied by order of the trial court whose determination is sought to be reviewed, within 30 days after service of that order and notice of its entry (CPLR 5513[b]).

Note: These periods are subject to extension based on the method of service (see, e.g., CPLR 2103[b][2], [6]; 22 NYCRR 730.3[2][c]—if service is by mail, five days shall be added to the prescribed period; if service is by overnight delivery, one day shall be added to the prescribed period). Moreover, if the last day of such a period is a Saturday, Sunday, or a public holiday, service and filing may be made on the next business day (General Construction Law § 25-a[1]; 22 NYCRR 730.3[d]).

Repost from: http://www.courts.state.ny.us/courts/ad2/AppellateTerm_faqs.shtml