var cultureInfo = CultureInfo.CurrentCulture;
var calendar = cultureInfo.Calendar;

var calendarWeekRule = cultureInfo.DateTimeFormat.CalendarWeekRule;
var firstDayOfWeek = cultureInfo.DateTimeFormat.FirstDayOfWeek;
var lastDayOfWeek = cultureInfo.LCID == 1033 //En-us
                    ? DayOfWeek.Saturday
                    : DayOfWeek.Sunday;

var lastDayOfYear = new DateTime(date.Year, 12, 31);

var weekNumber = calendar.GetWeekOfYear(date, calendarWeekRule, firstDayOfWeek);

 //Check if this is the last week in the year and it doesn`t occupy the whole week
return weekNumber == 53 && lastDayOfYear.DayOfWeek != lastDayOfWeek 
       ? 1  
       : weekNumber;

它对美国文化和俄罗斯文化都适用。ISO 8601也是正确的，因为俄罗斯周从周一开始。

假设我们的一周从周一开始，这两种方法会有帮助

/// <summary>
    /// Returns the weekId
    /// </summary>
    /// <param name="DateTimeReference"></param>
    /// <returns>Returns the current week id</returns>
    public static DateTime GetDateFromWeek(int WeekReference)
    {
        //365 leap
        int DaysOffset = 0;
        if (WeekReference > 1)
        {
            DaysOffset = 7;
            WeekReference = WeekReference - 1;
        }
        DateTime DT = new DateTime(DateTime.Now.Year, 1, 1);
        int CurrentYear = DT.Year;
        DateTime SelectedDateTime = DateTime.MinValue;

        while (CurrentYear == DT.Year)
        {
            int TheWeek = WeekReportData.GetWeekId(DT);
            if (TheWeek == WeekReference)
            {
                SelectedDateTime = DT;
                break;
            }
            DT = DT.AddDays(1.0D);
        }

        if (SelectedDateTime == DateTime.MinValue)
        {
            throw new Exception("Please check week");
        }

        return SelectedDateTime.AddDays(DaysOffset);
    }
/// <summary>
    /// Returns the weekId
    /// </summary>
    /// <param name="DateTimeReference"></param>
    /// <returns>Returns the current week id</returns>
    public static int GetWeekId(DateTime DateTimeReference)
    {
        CultureInfo ciCurr = CultureInfo.InvariantCulture;
        int weekNum = ciCurr.Calendar.GetWeekOfYear(DateTimeReference,
        CalendarWeekRule.FirstFullWeek, DayOfWeek.Monday);
        return weekNum;
    }

  DateTimeFormatInfo dfi = DateTimeFormatInfo.CurrentInfo;
  DateTime date1 = new DateTime(2011, 1, 1);
  Calendar cal = dfi.Calendar;

  Console.WriteLine("{0:d}: Week {1} ({2})", date1, 
                    cal.GetWeekOfYear(date1, dfi.CalendarWeekRule, 
                                      dfi.FirstDayOfWeek),
                    cal.ToString().Substring(cal.ToString().LastIndexOf(".") + 1));      

如果您想要全球化的周数，另一个答案是: 我也把答案贴在这里了

从原来的答案:

基于这个答案:@bunny4

但并不是每个人都在美国，或者可能需要支持多种文化。 使用此解决方案来支持文化定义的周规则和第一天规则。例:丹麦有“一周的头四天”规则，“星期一”是一周的第一天。

//for now, take the the current executing thread's Culture
var cultureInfo = Thread.CurrentThread.CurrentCulture;

//let's pick a date
DateTime dt = new DateTime(2020, 12, 21);

DayOfWeek firstDay = cultureInfo.DateTimeFormat.FirstDayOfWeek;
CalendarWeekRule weekRule = cultureInfo.DateTimeFormat.CalendarWeekRule;
Calendar cal = cultureInfo.Calendar;
int week = cal.GetWeekOfYear(dt, weekRule, firstDay);

在。net 3.0及以后版本中，你可以使用isoweek . getweekofdate方法。

请注意，年+周数格式中的年份可能与DateTime中的年份不同，因为有些星期跨越了年份边界。

下面是il_guru答案的扩展版本和可空版本。

扩展:

public static int GetIso8601WeekOfYear(this DateTime time)
{
    var day = CultureInfo.InvariantCulture.Calendar.GetDayOfWeek(time);
    if (day >= DayOfWeek.Monday && day <= DayOfWeek.Wednesday)
    {
        time = time.AddDays(3);
    }

    return CultureInfo.InvariantCulture.Calendar.GetWeekOfYear(time, CalendarWeekRule.FirstFourDayWeek, DayOfWeek.Monday);
}

可以为空:

public static int? GetIso8601WeekOfYear(this DateTime? time)
{
    return time?.GetIso8601WeekOfYear();
}

Usages:

new DateTime(2019, 03, 15).GetIso8601WeekOfYear(); //returns 11
((DateTime?) new DateTime(2019, 03, 15)).GetIso8601WeekOfYear(); //returns 11
((DateTime?) null).GetIso8601WeekOfYear(); //returns null