Germany recorded exports worth €98.3 billion, a monthly increase of 7.3 percent, and also received a record amount of imports, worth €79.4 billion, for a monthly increase of 3.1 percent, the figures showed.
"That was the highest monthly figure recorded for both exports and imports since the collection of foreign trade statistics had started in the Federal Republic of Germany in 1950," the national statistics service said.
When adjusted for calendar and seasonal effects, the country's trade surplus came to €15.2 billion in March, the Destatis office said.
Citing data provided by the German central bank, it added that the current account of the balance of payments, a broad measure of a nation's trade with partners, came to €19.5 billion in March, up from €18.8 billion a year ago.
Also on an annualised basis, exports by Germany, the world's second biggest exporter after China, gained 15.8 percent, while imports were 16.9 percent higher, the figures showed.
"Since the trough of the recession, exports have increased by more than 30 percent, returning to their pre-crisis level," ING senior economist Carsten Brzeski noted.
"Looking ahead, exports should remain a reliable source for growth, even if the pace of export growth is about to slow down," he added.