In this paper, we analyze the connectivity in the underwater optical wireless networks in which similar nodes with a certain range and coverage angle, and random surface distribution are used. In our analysis, we first classify the nodes into two categories of nodes located in the inner area and nodes located in the border strip by defining the width of the border strip as the node range. Then, we conduct their connectivity analyses separately. Finally, by combining the mentioned analyses, we obtain closed form formulas to calculate the probability of connectivity (from orders 1 and 2). Moreover, by numerical evaluation, we will compare the results of the analyses with the results of computer simulation.