Update:

Nintendo of Europe has also issued a statement from regional President Satoru Shibata:

Nintendo of Europe is today mourning the passing of Mr Satoru Iwata, Nintendo's Global President. It is difficult to put into words the sadness we feel at this time. Mr Iwata was a strong leader, a unique figure in the gaming industry and an important part of Nintendo's history. He was a visionary in every sense of the word and we will miss him dearly. Just as Mr Iwata challenged us to always push forward, we will ensure his legacy lives on through our ongoing work to always surprise and delight our fans. At this time our thoughts are with his family.

Original Article:

Following the passing of Satoru Iwata on 11th July, Shigeru Miyamoto has issued a statement with regards to the loss. It is the only official statement - at the time of writing - from Nintendo Japan beyond its formal notification, and Miyamoto-san shared his feelings of loss and a key message around Nintendo's future.

The following was passed to Eurogamer:

I am truly surprised and saddened by this unexpected news. The entire development team at Nintendo will remain committed to our development policy which Mr. Iwata and we have been constructing together and to yield the development results which Mr. Iwata would appreciate.

Satoru Iwata and Shigeru Miyamoto appeared to have a strong working relationship, and below is their memorable 'Luigi Bros.' skit from 2013.