NOAA: this past May tied for the warmest May for 2016.
NASA: this May was the warmest May in their records, beating 2016 by 0.06°C. Northern Hemisphere and land-only also were record highs, the latter by 0.09°C.
Here's a figure from a monthly email James Hansen sends out when the GISS temperatures are announced:
Both years were coming off an El Nino, though the El Nino that just ended was literally almost the weakest possible:
ONI for last five months:
Just yesterday the Climate Prediction Center in College Park said the rest of this year looked mostly neutral, with an equal but small chance of an El Nino or a La Nina:
Their collection of model predictions are:
I'm not good enough to make any predictions. Also, they only get you in trouble.