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mainform.cpp:

#include "mainform.h"
//
MainForm::MainForm( QWidget * parent, Qt::WFlags f) 
	: QMainWindow(parent, f)
{
	setupUi(this);
	connect(pushButton, SIGNAL(clicked()), this, SLOT(OpenFile()));
}
//


void MainForm::OpenFile()
{
QString fileName = QFileDialog::getOpenFileName(this);

QFile file (fileName); 
if (file.open(QIODevice::ReadOnly)) 
	{ 
		QTextStream stream(&file); 
		QString str; 
		stream.setCodec("UTF-8");
		
		QTableWidget* tbl = new QTableWidget;
	tbl->setColumnCount(3);
    tbl->setRowCount(10);
    
	   //   lst << "First" << "Second" << "Third";
    	//	tbl->setHorizontalHeaderLabels(lst);

    tbl->setColumnCount(20);
    tbl->setRowCount(2);
    int row=0,col=0;
			while (!stream.atEnd()) 
				{ 
					str = stream.readLine();
					QStringList fields = str.split(' ');
					
					int f = fields.takeLast().toInt(); 
					for (int i=0; i<=f; ++i)
					{
						QTableWidgetItem *item = new QTableWidgetItem;
						item->setData(fields);
						tbl->setItem(row, i, item);	
					}
					
										
				} 
	if (stream.status() != QTextStream::Ok) 
		{ 
			qDebug() << "Ошибка чтения файла"; 
		} 
		
file.close(); 
tbl->show();
} 

}

mainform.h:
#ifndef MAINFORM_H
#define MAINFORM_H
//
#include <QMainWindow>
#include "ui_mainwindow.h"
#include <QtGui>
#include <QTextStream>
#include <QTableWidget>
#include <QTableWidgetItem>
#include <QStringList>
//
class MainForm : public QMainWindow, public Ui::MainWindow
{
Q_OBJECT
public:
	MainForm( QWidget * parent = 0, Qt::WFlags f = 0 );
	//QTableWidget *tbl;  // ???
	//QTableWidgetItem ptwi = 0;
    QStringList       lst;

private slots:

	void OpenFile();

};
#endif

int f = fields.takeLast().toInt();
for (int i=0; i<=f; ++i)
{
	QTableWidgetItem *item = new QTableWidgetItem;
	item->setData(fields);  // <---------- Вставил весь список залпом !!!
	tbl->setItem(row, i, item);	
}

int i=0;
// для каждой строки из списка строк
foreach (QString str, fields)
{
	QTableWidgetItem *item = new QTableWidgetItem;
	item->setData(str);  // <---------- Вставил один элемент списка
	tbl->setItem(row, i++, item);
}

...
item->setData(str);  
...

void MainForm::OpenFile()
{
QString fileName = QFileDialog::getOpenFileName(this);

QFile file (fileName); 
if (file.open(QIODevice::ReadOnly)) 
	{ 
		QTextStream stream(&file); 
		 
		stream.setCodec("CP-866");
		
		QTableWidget* tbl = new QTableWidget;
	    
	      lst << "First" << "Second" << "Third";
    		tbl->setHorizontalHeaderLabels(lst);
    		
    tbl->setColumnCount(5);
    tbl->setRowCount(5);
    
    int f=0, row=0,col=0, tt=0, vv=0;
    
    QString str;
    QString fff, ggg;
    QList<QString> gg;
    QStringList fields;
    
    		while (!stream.atEnd()) 
				{ 
					str = stream.readLine(); //chtenie stroki
					str = str.simplified();  //ubiraet pustie probeli v stroke
					if (tt<=3)	fields = str.split(","); 
					if (tt>3)	fields = str.split(' '); 
					
					tbl->setColumnCount(f);
					tbl->setRowCount(tt+1);
					gg = fields;
					
					f = fields.size();		
											
					for (int i=0; i<=(f-1); ++i)
					{
						fff = gg.at(i); 
						QTableWidgetItem *item = new QTableWidgetItem;
						item->setText(QString(fff));
						tbl->setItem(tt, i, item);
					}

 				++tt;
     
				} 
	if (stream.status() != QTextStream::Ok) 
		{ 
			qDebug() << "Р_С_РёР+РєР° С╪С'РчР_РёС_ С"айР>Р°"; 
		} 
		
file.close(); 
tbl->show();
} 

while (!stream.atEnd())
{
...
    qApp->processEvents();
...
}

str = stream.readLine();

#include <QtGui>
#include <QTextStream>
#include <QTableWidget>
#include <QStandardItemModel>
//#include <QTableWidgetItem>
#include <QStringList>
//
class MainForm : public QMainWindow, public Ui::MainWindow
{
Q_OBJECT
public:
	MainForm( QWidget * parent = 0, Qt::WFlags f = 0 );
	QStringList       lst;
	QStandardItemModel* model;

private slots:

	void OpenFile();

};
#endif

#
include "mainform.h"
//
MainForm::MainForm( QWidget * parent, Qt::WFlags f) 
	: QMainWindow(parent, f)
{
	setupUi(this);
	connect(pushButton, SIGNAL(clicked()), this, SLOT(OpenFile()));
	model=new QStandardItemModel(this);
	view->setModel(model);
}
//


void MainForm::OpenFile()
{
QString fileName = QFileDialog::getOpenFileName(this);

QFile file (fileName); 
if (file.open(QIODevice::ReadOnly)) 
	{ 
		QTextStream stream(&file); 
		 
		stream.setCodec("CP-866");
		
	int siz=0, size_file=0, f=0, row=0, col=0;
    
    QString str;
    QString fff, ggg;
    QList<QString> gg;
    QStringList fields;
    
      
    // dlya sozdaniya okna progressa
    siz = file.size();
    size_file = siz/190; // razmer % dlya progressDialog
    
    QProgressDialog* pprd = 
	new QProgressDialog(tr("Progressing the data..."), tr("&Cancel"), 0, size_file,this); 
	pprd->setModal(true);  // ustanovka modalnosti okna
	pprd->setMinimumDuration(0); 
	pprd->setWindowTitle("Please Wait"); 

    model->clear();
	model->setColumnCount(f);
	view->setUpdatesEnabled(false);
	
	QTime timer(0,0,0,0);
	QTime tim(0,0,0,0);
	timer.start();
   //char buf[256];
  
    
	   		while (!stream.atEnd()) 
				{ 
					str = stream.readLine();
					///qint64 lineLength = file.readLine(buf, sizeof(buf));
					///str = buf;
					//str = stream.readLine(); //chtenie stroki
					str = str.simplified();  //ubiraet pustie probeli v stroke
					if (row<=3)	fields = str.split(","); 
					if (row>3)	fields = str.split(' '); 
					
					model->setRowCount(row+1);
					gg = fields;
					
					for (col=0; col<=(fields.size()-1); ++col)
					{
						fff = gg.at(col); 
						QStandardItem *item = new QStandardItem(QString(fff));
						model->setItem(row, col, item);
					}
							pprd->setValue(row) ;  // progress
							qApp->processEvents(); 
							if (pprd->wasCanceled()) break; 

 				++row;
				} 
				
	if (stream.status() != QTextStream::Ok) 
		{ 
			qDebug() << "╨Ю╤И╨╕╨▒╨║╨░ ╤З╤В╨╡╨╜╨╕╤П ╤Д╨░╨╣╨╗╨░"; 
		} 
		
	tim = tim.addMSecs(timer.elapsed());
	this->setWindowTitle(QString(tim.toString("m:s:z")));
	
	delete pprd; //unichtozhenie okna  QProgressDialog

view->setUpdatesEnabled(true);
file.close(); 
}