Dynamic creation of table with DOM

You need to create new TextNodes as well as td nodes for each column, not reuse them among all of the columns as your code is doing.

Edit: Revise your code like so:

for (var i = 1; i < 4; i++)
{
   tr[i] = document.createElement('tr');   
      var td1 = document.createElement('td');
      var td2 = document.createElement('td');
      td1.appendChild(document.createTextNode('Text1'));
      td2.appendChild(document.createTextNode('Text2'));
      tr[i].appendChild(td1);
      tr[i].appendChild(td2);
  table.appendChild(tr[i]);
}

It is because you're only creating two td elements and 2 text nodes.

---

Creating all nodes in a loop

Recreate the nodes inside your loop:

var tablearea = document.getElementById('tablearea'),
    table = document.createElement('table');

for (var i = 1; i < 4; i++) {
    var tr = document.createElement('tr');

    tr.appendChild( document.createElement('td') );
    tr.appendChild( document.createElement('td') );

    tr.cells[0].appendChild( document.createTextNode('Text1') )
    tr.cells[1].appendChild( document.createTextNode('Text2') );

    table.appendChild(tr);
}

tablearea.appendChild(table);

---

Creating then cloning in a loop

Create them beforehand, and clone them inside the loop:

var tablearea = document.getElementById('tablearea'),
    table = document.createElement('table'),
    tr = document.createElement('tr');

tr.appendChild( document.createElement('td') );
tr.appendChild( document.createElement('td') );

tr.cells[0].appendChild( document.createTextNode('Text1') )
tr.cells[1].appendChild( document.createTextNode('Text2') );

for (var i = 1; i < 4; i++) {
    table.appendChild(tr.cloneNode( true ));
}

tablearea.appendChild(table);

---

Table factory with text string

Make a table factory:

function populateTable(table, rows, cells, content) {
    if (!table) table = document.createElement('table');
    for (var i = 0; i < rows; ++i) {
        var row = document.createElement('tr');
        for (var j = 0; j < cells; ++j) {
            row.appendChild(document.createElement('td'));
            row.cells[j].appendChild(document.createTextNode(content + (j + 1)));
        }
        table.appendChild(row);
    }
    return table;
}

And use it like this:

document.getElementById('tablearea')
        .appendChild( populateTable(null, 3, 2, "Text") );

---

Table factory with text string or callback

The factory could easily be modified to accept a function as well for the fourth argument in order to populate the content of each cell in a more dynamic manner.

function populateTable(table, rows, cells, content) {
    var is_func = (typeof content === 'function');
    if (!table) table = document.createElement('table');
    for (var i = 0; i < rows; ++i) {
        var row = document.createElement('tr');
        for (var j = 0; j < cells; ++j) {
            row.appendChild(document.createElement('td'));
            var text = !is_func ? (content + '') : content(table, i, j);
            row.cells[j].appendChild(document.createTextNode(text));
        }
        table.appendChild(row);
    }
    return table;
}

Used like this:

document.getElementById('tablearea')
        .appendChild(populateTable(null, 3, 2, function(t, r, c) {
                        return ' row: ' + r + ', cell: ' + c;
                     })
        );

You must create td and text nodes within loop. Your code creates only 2 td, so only 2 are visible. Example:

var table = document.createElement('table');
for (var i = 1; i < 4; i++){
    var tr = document.createElement('tr');   

    var td1 = document.createElement('td');
    var td2 = document.createElement('td');

    var text1 = document.createTextNode('Text1');
    var text2 = document.createTextNode('Text2');

    td1.appendChild(text1);
    td2.appendChild(text2);
    tr.appendChild(td1);
    tr.appendChild(td2);

    table.appendChild(tr);
}
document.body.appendChild(table);