Djokovic was playing his first competitive match since his shock French Open final defeat to Stan Wawrinka just over three weeks ago and there were certainly signs of rust from the world number one.
Kohlschreiber, however, was too generous at the crucial moments on Centre Court and Djokovic was able to seal a 6-4 6-4 6-4 victory.
There will certainly be tougher tests to come if he is to claim a third??Wimbledon title, but Djokovic will be relieved to overcome a potentially tricky??opponent in Kohlschreiber, who took Roger Federer to a final set tie-break??before losing in Halle earlier this month.
The world number 33 caused Djokovic problems with his devilish slice backhand??and he had three break points in the seventh game of the first set but was??unable to capitalise, with the first drifting away after a close review.
Djokovic was more clinical, as two Kohlschreiber double faults allowed him to??break in the 10th game and sneak the first set.
There were plenty of loose shots from the Australian Open champion, with a??number of backhands flying long and simple forehands finding the net, but again??Djokovic raised his level just when he needed to.
Leading 5-4, he produced an exquisite lob and a superb backhand pass before??breaking Kohlschreiber again to take a two-set advantage.
The third set followed a similar pattern as Kohlschreiber’s serve continued to??let him down under pressure and Djokovic broke to secure a comfortable win in??just over two hours.