Here's a Java program to generate a multiplication table:

public class MultiplicationTable {
    public static void main(String[] args) {
        int n = 10; // number of rows and columns

        // nested for loop to print the multiplication table
        for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= n; j++) {
                System.out.printf("%4d", i * j);
            }
            System.out.println();
        }
    }
}

In this program, we have an integer variable n that represents the number of rows and columns in the multiplication table. We use a nested for loop to print out the multiplication table. The outer loop runs from 1 to n and controls the rows, while the inner loop runs from 1 to n and controls the columns.

Inside the inner loop, we calculate the product of i and j (i.e., the value of the cell in the multiplication table) and use the printf() method to format the output with a field width of 4. We then print a newline character after each row using the println() method.

When you run this program, it will generate a multiplication table with n rows and columns, where the value in each cell is the product of the row and column indices.