here's one way to do it :

using System;
using System.Runtime.InteropServices;
using System.Security.Principal;
using System.Security.Permissions;
using System.Windows.Forms;
using System.Collections.Generic;
using System.Text;
using System.Reflection.Emit;
using System.Reflection;

namespace DiceGame {
    class Program {
        static void Main(string[] args) {

            // Create 2 arrays of integers to hold player dice rolls
            int[] player1 = new int[6];
            int[] player2 = new int[6];

            // Create a random number generator
            Random randomGenerator = new Random();

            // Roll dice 5 times for each player
            for (int i = 0; i < 5; i++) {
                // Increment the array value at the position generated by the dice roll
                // for example a dice roll of 3 increments the array at posion 3
                int diceRoll = 0;
                diceRoll = randomGenerator.Next(6);
                player1[diceRoll]++;
                //Write Player 1  dice roll
                Console.WriteLine("Player 1 rolled: {0}", diceRoll + 1);
                diceRoll = randomGenerator.Next(6);
                player2[diceRoll]++;
                //Write Player 2  dice roll
                Console.WriteLine("Player 2 rolled: {0}", diceRoll + 1);
            }

            // Find max number of rolls with the same value
            // we effectively search the position in the arrays holding the max value
            int maxPlayer1 = 0, maxPlayer2 = 0;
            for (int i = 1; i < 5; i++) {
                if (player1[i] > player1[maxPlayer1]) maxPlayer1 = i;
                if (player2[i] > player2[maxPlayer2]) maxPlayer2 = i;
            }

            // Write results to console;
            if (player1[maxPlayer1] > player2[maxPlayer2])
                Console.WriteLine("Player 1 won with {0} rolls of {1}", player1[maxPlayer1], maxPlayer1 + 1);
            else
            if (player2[maxPlayer2] > player1[maxPlayer1])
                Console.WriteLine("Player 2 won with {0} rolls of {1}", player2[maxPlayer2], maxPlayer2 + 1);
            else
                Console.WriteLine("Tie");
        }
    }
}


As an exercise  try to refactor the code to use functions that take a player numeber to do the work.