What with his building of ships, his attendance on the Lord Admiral to Spain, and his selection of timber for the Government, his hands seem to have been kept very full during the whole of 1605.
In July, 1606, Pett received private instructions from the Lord High Admiral to have all the King's ships "put into comely readiness" for the reception of the King of Denmark, who was expected on a Royal visit.

"Wherein," he says, "I strove extraordinarily to express my service for the honour of the kingdom; but by reason the time limited was short, and the business great, we laboured night and day to effect it, which accordingly was done, to the great honour of our sovereign king and master, and no less admiration of all strangers that were eye-witnesses to the same." The reception took place on the 10th of August, 1606.
Shortly after the departure of His Majesty of Denmark, four of the Royal ships--the Ark, Victory, Golden Lion, and Swiftsure--were ordered to be dry-docked; the two last mentioned at Deptford, under charge of Matthew Baker; and the two former at Woolwich, under that of Pett.

For greater convenience, Pett removed his family to Woolwich.

After being elected and sworn Master of the Company of Shipwrights, he refers in his manuscript, for the first time, to his magnificent and original design of the Prince Royal.[22] "After settling at Woolwich," he says, "I began a curious model for the prince my master, most part whereof I wrought with my own hands." After finishing the model, he exhibited it to the Lord High Admiral, and, after receiving his approval and commands, he presented it to the young prince at Richmond.

"His Majesty (who was present) was exceedingly delighted with the sight of the model, and passed some time in questioning the divers material things concerning it, and demanded whether I could build the great ship in all parts like the same; for I will, says His Majesty, compare them together when she shall be finished.