TextView TV = (TextView)findViewById(R.id.mytextview01);
Spannable word = new SpannableString("Your message");
word.setSpan(new ForegroundColorSpan(Color.BLUE), 0, word.length(), Spannable.SPAN_EXCLUSIVE_EXCLUSIVE);
TV.setText(word);
Spannable wordTwo = new SpannableString("Your new message");
wordTwo.setSpan(new ForegroundColorSpan(Color.RED), 0, wordTwo.length(), Spannable.SPAN_EXCLUSIVE_EXCLUSIVE);
TV.append(wordTwo);
BackgroundColorSpan => For background color!
HTML format insert to code:
String text = "<font color=#cc0029>Erste Farbe</font> <font color=#ffcc00>zweite Farbe</font>";
yourtextview.setText(Html.fromHtml(text));