Dubai is one of the hottest destinations right now (and always). As part of the country of the United Arab Emirates several nationalities can enter the country without even needing a Tourist Visa. The process for those who need one is quite easy. One can apply using the Emirates Airlines system (for those flying with them) or it can be worked out with many different hotels. The process just takes three or four days.
There has been a lot been said online about if one person who has been previously in Israel and has a stamp from there in their passport can enter Dubai. Well, officially the United Arab Emirates does not put any restriction for persons in such a situation. It is true that they deny tourist visas to Israeli citizens or to those who even holding a different citizenship were born in Israel.
A recent update for travelers planning on going to Israel with future plans for Dubai, The Israeli government is no longer stamping passports at the Ben Gurion International Airport, so this question is no longer an issue on the basis that there are no passport stamps from Israel as of April 2014 onwards if you enter Israel using the International Airport. If you have an Israeli stamp from before, keep reading below to see that it is also not an issue that will complicate entry to Dubai.
It is important to understand that there are different airports in the UAE. The main one is in Dubai. Abu Dhabi is another very important point of entry. Sharjah receives several flights from different international destinations and we have heard some reports of people entering through that airport who have been questioned why they have an Israeli stamp in their passports. Sharjah is the most conservative of the seven Emirates.
On their last trip one of the members of our team had an Israeli stamp in their passport, the immigration agent opened the passport in the exact spot with such stamp. He carefully examined the page and then asked if the trip to Israel has been enjoyable and he put the Dubai entry stamp next to that one without a problem.
So, as a conclusion we can affirm (and it is clear in the page of the U.A.E. embassy in London) that there is not a problem in having a stamp from any specific country when thinking about visiting Dubai or any of the other cities in the Emirates.